Find the equation of a line that passes through the points (6,7) and (8,3).
Leave your answer in the form
y = mx + c

Answers

Answer 1

Answer:

y=-2x+19

Step-by-step explanation:

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:  m= [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex].

Now we have,

m= 3-7/8-6

m=-2. Since m=-2, the equation is y=-2x+b.

To find b, think about what your (x,y) points mean:

(6,7). When x of the line is 6, y of the line must be 7.

(8,3). When x of the line is 8, y of the line must be 3.

Substitute them to the equation  y=-2x+b.

You can use either (x,y) point you want..the answer will be the same:

(6,7). y=mx+b or 7=-2 × 6+b, or solving for b: b=7-(-2)(6). b=19.

(8,3). y=mx+b or 3=-2 × 8+b, or solving for b: b=3-(-2)(8). b=19.

So, the equation of the line that passes through the points

(6,7) and (8,3)  is  y=-2x+19.


Related Questions

I need help with this plz help#10

Answers

Answer:

Step by step explanation:
Lines are 180degrees

4/4-x = 5/4+x what is x

Answers

Answer:

-1/8

Step-by-step explanation:

MATH

What is the final amount if 1885 is increased by 5% followed by a further 18% increase

Answers

9514 1404 393

Answer:

  2335.515

Step-by-step explanation:

The first increase multiplies the original amount by 1 + 5% = 1.05.

The second increase multiplies the already increased amount by 1 + 18% = 1.18.

Then the final amount is ...

  1885(1.05)(1.18) = 2335.515

Distribute: 1/2 (6k - 8)

Answers

Answer: 3k -4

Step-by-step explanation: Just multiply 1/2 by both terms in the expression.

Gloria enjoys playing Skee ball — an arcade game where players toss a ball so it rolls up a ramp and falls into one of several slots. Each slot is worth a different number of points based on how difficult it is to land the ball in that slot. Gloria only aims at the most difficult slot, which is worth 100100100 points, but she only has a 10\%10%10, percent chance of landing the ball in that slot. If she misses, her ball will certainly land in the 101010 point slot.
The table below displays the probability distribution of XXX, the number of points Gloria scores on a random shot.
X=points, 100 10
P(X), 10%, 90%,
Given μx=19μ calculate σ X

Answers

Answer:

27

Step-by-step explanation:

that's the answer on khan

answer this please.....step by step explanation ​

Answers

Answer:

Number: 12n

Step-by-step explanation:

Where n stand for any nature number

Now, for 12n to end with 0,it should have 2as

well as 5 in it's prime factors to end with

0, also to with 5, it requires at least

a single multiple of 5 in it's prime

Factors: So 12n cannot end the digit 0or5

Explain answer giving brainiest

Answers

Answer:

The answer is Graph D.

Step-by-step explanation:

Answer:

D.)

Step-by-step explanation:

D is the correct answer because it is the only line with a linear function that will forever increase and/or decrease. If the graph has a point using the same y-value assigned to the same x-value more than one time then it is not a function. A graph is only a function if each x-value HAS ONLY ONE y-value.

1.)A pentagon is translated down and to the left. How many sides does the resulting figure have?
a)6
b)5
c)4
d)It is impossible to determine without knowing how far the pentagon was translated.

3.)Which of the following capital letters results in the same letter over again when reflected about a horizontal line?
a)D
b)S
c)Y
d)A

4.) A quadrilateral has vertices A, B, C, and D. A line of reflection is drawn so that A is 6 units away from the line, B is 4 units away from the line, C is 7 units away from the line, and D is 9 units away from the line. When quadrilateral ABCD is reflected about the line of reflection to create a new quadrilateral A′B′C′D′, which resulting point is closest to the line of reflection?

a)D′
b)B′
c)A′
d)C′

5.) A pre-image arrow pointing east is rotated 135° clockwise. In which direction is the image arrow pointing?

a)southwest
b)west
c)northwest
d)southeast

6.) A point is rotated 272° clockwise. What is the equivalent smallest positive counterclockwise rotation?

written answer

9.)A rotation by how many degrees represents six full rotations?

written answer

10.)What is true about the number of sides in any regular polygon that has at least one line of symmetry passing through two vertices?

a)The number of sides is prime.
b)The number of sides is odd.
c)The number of sides is a perfect square.
d)The number of sides is even.
14.)
15.)Which of the following series of transformations is equivalent to reflecting about the line y=−x?

a)reflecting about the y-axis and then rotating 90° counterclockwise
b)reflecting about the x-axis and then rotating 180° counterclockwise
c)reflecting about the y-axis and then rotating 180° counterclockwise
d)reflecting about the x-axis and then rotating 90° counterclockwise

16.)Which point maps to itself both when reflected about y=x and reflected about y=−x?

a)(−1,1)
b)(0,0)
c)(1,1)
d)(0,1)

17.)True or false: Sequences of rigid motions can be applied to any type of polygon.

a)This statement is false. Sequences of rigid motions can only be applied to polygons with fewer than 10 vertices.
b)This statement is false. Sequences of rigid motions can only be applied to convex polygons.
c)This statement is true.
d)This statement is false. No more than one rigid motion can be applied to any polygon.

18.) True or false: A sequence of rigid motions that maps a pre-image to an image must contain no fewer than two unique rigid motions for the pre-image and the image to be congruent.

a) This statement is false. If a sequence of rigid motions maps a pre-image to an image, the pre-image and the image are congruent no matter the details of the sequence of rigid motions.
b)This statement is true.
c) This statement is false. A sequence of rigid motions that maps a pre-image to an image must contain no more than two unique rigid motions for the pre-image and the image to be congruent.
d) This statement is false. A sequence of rigid motions that maps a pre-image to an image must contain exactly two unique rigid motions for the pre-image and the image to be congruent.

Answers

Answer:

1) b) 5

3) a) D

4) b) B'

5.) a)

6.) 88°

9) 2,160°

10.) d) The number of sides is even

15.) a) Reflecting about the y-axis and then rotating 90° counterclockwise

16) b) (0, 0)

17.) c) This statement is true

18.) a) This statement is false. If a sequence of rigid motions maps a pre-image to an image, the pre-image and the image are congruent no matter the details of the sequence of rigid motions

Step-by-step explanation:

1) b) 5 A translation is a form of rigid transformation that preserves the shape and dimensions of the pre-image in the image

3) a) D. The letter D has an horizontal line of symmetry

4) b) B'. The reflection of an object about a line is as far behind the mirror as the object is in front

5.) a) The arrow will point in the southwest direction

6.) 88°. A 272° rotation clockwise, is equivalent to a 360° - 272° rotation. anticlockwise

9) 2,160°.

One rotation = 360°, 6 rotations = 6 × 360° = 2,160°

10.) d) The number of sides is even

The existence of a line symmetry gives equal number of sides on both sided of the line of symmetry, which gives an even  an even number of sides

15.) a) Reflecting about the y-axis and then rotating 90° counterclockwise

Reflecting across the line y = -x, gives (x, y) → (-y, -x)

Reflecting about the y axis gives, (x, y) → (x, -y))

Rotation 90° counterclockwise gives (x, -y) → (-y, -x)

16) b) (0, 0),

Reflection about the line y = x gives (x, y) → (y, x)

Reflection about the line y = -x gives (x, y) → (-y, -x)

When, (x, y) = (0, 0), (y, x) ≡ (-y, -x)

when

17.) c) This statement is true,

A rigid motion involves the equal change of all coordinates on the pre-image to form the image

18.) a) This statement is false. If a sequence of rigid motions maps a pre-image to an image, the pre-image and the image are congruent no matter the details of the sequence of rigid motions

The preimage and the image formed by a rigid transformation are always congruent

Each school bus going on the Field Trip holds 36 students and 4 adults.There are 6 filled buses in the Field Trip.How many People are going on the Field Trip? Answer Now Please it is homework!

Answers

Answer:

240 people

Step-by-step explanation:

Step one:

given data

Number of Students in a bus= 36

Number of Adults in a bus= 4

Total number of persons in a bus= 36+4= 40 persons

Step two:

in one bus there are 40 people

in 6 filled buses there are 6*40

=240 peoples.

Therefore there are 240 people going on the field trip

Please help this is due today :)

Answers

The slope is 1/2
(Remember rise/run)
The full equation would be 1/2+1

I need help with this...I'm so confused on #10. Can someone help me please???

Answers

Answer:

download a calculator

Step-by-step explanation:

Unit 8 right triangles and trigonometry homework 2

Answers

Answer

What u need help with ?

Explanation

Which is a monthly cost associated with renting a house? A. utility bills B. property tax C. security deposit

Answers

Answer:

Property tax

Step-by-step explanation:

That is because you are paying to live on that property. As utility bills. Is like paying for tools and that is not a part of renting a house. Sercurtity deposit is not a thing.

Answer:

A. utility bills

Step-by-step explanation:

whats the slope of 10x+4y=-20

Answers

Answer:

In Explanation

Step-by-step explanation:

First, you should put the equation in slope intercept form (y = mx + b), where m is the slope.  

10x + 4y = 20

Isolate the y term

10x + 4y – 10x = 20 – 10x

4y = 20 – 10x

Rearrange the terms

4y = –10x + 20

Divide both sides by 4

4y4=−10x+204

y=−104x+5

The slope of the given line is –10/4. A perpendicular line will have a slope with the opposite reciprocal. In simpler terms, you flip the slope and change the sign, therefore, the opposite reciprocal is 4/10.

In a circle, what is the ratio of the circumference to its diameter?
A area
B radius
C volume
D Pi

Answers

Answer:

the answer is D

Step-by-step explanation:

During a typing test , bob typed 40 words in 2/3 of a minute what is bobs typing speed.

Answers

Answer:  60 words per minute

Work Shown:

40 words = (2/3) of a minute

3*40 words = 3*(2/3) of a minute ... multiply both sides by 3

120 words = 2 minutes

120/2 words = 2/2 minutes .... divide both sides by 2

60 words = 1 minute

Bob's speed is 60 words per minute (wpm)

Answer:

60 word per minute

Step-by-step explanation:

thanks i need the points, this guy above me is a beast

20 points! Which expression can go in the blank to make the equation true?
-4.5 + 4.4 + ? = 0
A.-6.7 + 6.8
B.-6.7 + (-6.6)
C.7.2 + (-7.2)
D.7.3 + (-7.3)

Answers

Answer:

D

Step-by-step explanation:

7.3+(-7.3)

hope that help

Answer:

Step-by-step explanation:

-4.5+4.4+0.1=0

A. =0.1

B. =-13.3

C. =0

D. =0

HELP ME PLEASE!!!! explain how to solve y^4-81/y-3

Answers

Answer:

If solved by using quadratic formula, you would need to solve the rational equation by combining expressions and isolating the variable  y .

y ≈ 2.45043159

Step-by-step explanation:

The expression (y⁴ - 81) / (y - 3) simplifies to (y + 3)(y² + 9) after factoring and canceling common terms.

expression (y⁴ - 81) / (y - 3)

by simplification

factoring the numerator

y⁴ - 81 = (y²)² - 9² = (y² - 9)(y² + 9)

factoring the denominator

y - 3

we get, (y² - 9)(y² + 9) / (y - 3)

simplifying

(y² - 9) = (y - 3)(y + 3)

(y - 3)(y + 3)(y² + 9) / (y - 3)

(y + 3)(y² + 9)

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Don’t understand how to get the answer

Answers

Answer:

The answer is 14 because it's the opposite of -14

Answer:

Additive inverse is the number that you could add to a number to get 0. What could you add to -14 to get 0?

If you need more help, feel free to just ask in the comments.

Select the graph that represents the solution for the following system of inequalities.

Answers

Answer:

I think that answer is C

Step-by-step explanation:

I am not 100% sure but it is worth a try

Answer:

YESS DADDYY!!!

Step-by-step explanation:

Juan drives 7.5 miles in 15 minutes. If he drove three hours in total at the same rate,
how far did he go?
How many minutes did Juan drive in total?

Answers

he went 90 miles, 180 minutes. explanation: there are 4 , 15 minute intervals in an hour. 4 x 15 is 30. so 30 miles an hour. you multiply 30 miles x 3 hours and get 90 miles. then there’s 60 minutes in an hour and 60 x 3 is 180.

pls help, i’ll give brainliest

Answers

Answer:

The maximum height of the ball was 30 feet

The ball was in the air for 6 seconds

Step-by-step explanation:

The maximum height was 30 feet because that is the highest y-value before the y-values start decreasing. You could also call it the peak.

You would know the ball was in the air for 6 seconds because the time elapsed between it's liftoff at 0 feet and it's landing at the other 0 feet was 6 seconds.

3. Roger runs 8 miles per hour. He ran for h
hours to run 6 miles.
Write the equation for this situation

Answers

Answer:

8h

Step-by-step explanation:

8 miles per hour

h hours

plug in h for how many hours

8 divided by 6 is 1.3

1.3 hours to run 6 miles

Help! :(

It’s in the pic :3

Answers

Answer:

[tex]\frac{3}{2}[/tex]

Step-by-step explanation:

Answer:

(4)

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - [tex]\frac{2}{3}[/tex] x - 5 ← is in slope- intercept form

with slope m = - [tex]\frac{2}{3}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{2}{3} }[/tex] = [tex]\frac{3}{2}[/tex] → (4)

Grant is buying a pack of blue and white socks. 4 of the pairs are blue and 6 of the pairs are white. What fraction is equivalent to the portion of socks that are NOT white? Question 4 options: 2/5 3/4 3/5 1/2

Answers

Answer:

[tex]Fraction = \frac{2}{5}[/tex]

Step-by-step explanation:

Given

[tex]Blue = 4[/tex]

[tex]White = 6[/tex]

Required

Determine the fraction that are not white

First, we need to determine the total

[tex]Total = Blue + White[/tex]

[tex]Total = 4 + 6[/tex]

[tex]Total = 10[/tex]

Not white, in this case means blue.

So, the fraction is calculated as thus:

[tex]Fraction = \frac{Not\ White}{Total}[/tex]

[tex]Fraction = \frac{Blue}{Total}[/tex]

[tex]Fraction = \frac{4}{10}[/tex]

Simplify

[tex]Fraction = \frac{2}{5}[/tex]

Hence the fraction that are not white is

[tex]Fraction = \frac{2}{5}[/tex]

If the vertical length is 10, what is the horizontal length?

Answers

Answer:

it is 5

Step-by-step explanation:

.......................

Answer:

5

Step-by-step explanation:

The ratio is 1:2 with two the vertical length.  

A 5-foot piece of linen costs $34.80. What is the price per inch?

Answers

6.96 is the answer for this question

Answer:

$6.96 per inch

Step-by-step explanation:

34.80/5=6.96

Hope this helps!!!

If JKLM is a trapezoid, which statements must be true? Check all that apply.
A. JK=~KL
B. J is congruent to M.
DC. JK is parallel to LM.
I D. J is congruent to K.
E. KL is parallel to JM.
OF Jis supplementary to K.

Answers

is there a picture to go with this question?

JKLM is a trapezoid. Statements A and E are correct.

What is the definition of geometry?

It is concerned with the geometry, region, and density of various 2D and 3D shapes. There are two parallel sides and two non-parallel sides to a trapezoid.

These are the actual statements:

(a) J is supplementary to K

(e) KL is parallel to JM

Hence, statements A and E are correct.

To learn more about geometry, refer to

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We can describe 15x-10 as an expression
We would describe 9x+5=32 as an

Answers

We would describe 9x+5=32 as an equation.

What is expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given, We can describe 15x-10 as an expression, We would describe 9x+5=32 as an:

A function is a collection of ordered pairs where each input (x-value) has a single relationship to each output (y-value). An equation need not always be a function. If an equation satisfies the criteria for a function, then it is a function. However, not all equations are functions.

A number, a variable, or a mix of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation.

Therefore, We would describe 9x+5=32 as an equation or a function.

Learn more about expression here:

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....I....Need....Help....ASAP....

Answers

Answer:

[tex] \sqrt{12} [/tex]

Answer:

1 (square root of 72)

Step-by-step explanation:

Ok. You can solve this using the pythagorean thereom. This is because AB is the hypotenuse of a right triangle. Therefore, you can solve this problem by using the square of both sides to find the length of the hypotenuse. 6^2+6^2=c^2.

36+36=72

[tex]\sqrt 72[/tex]=8.5

8.5 is about what the line looks to be just by eyeing it, and it fits in with the theroem used, therefore I'd say it is #1. Hope that helps.

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