Mathematics High School

A line that includes the point (6,-4) has a slope of -1/2 what’s the equation in slope intercept form

Answers

Answer 1

Answer:

The equation in the slope-intercept form will be:

[tex]\:y=-\frac{x}{2}-1[/tex]

Step-by-step explanation:

Given

Point (6, -4)Slope m = -1/2

Important Tip:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

[tex]m[/tex] represents the slope[tex]b[/tex] is the y-intercept

In our case,

(x, y) = (6, -4)m = -1/2

Step 1 of 2

Determine the y-intercept b

substitute m = -1/2 and (x, y) = (6, -4) in the slope-intercept form of the line equation

[tex]y = mx+b[/tex]

[tex]-4\:=-\:\frac{1}{2}\left(6\right)+b[/tex]

switch sides

[tex]-\frac{1}{2}\left(6\right)+b=-4[/tex]

[tex]-3+b=-4[/tex]

Add 3 to both sides

[tex]-3+b+3=-4+3[/tex]

simplify

[tex]b=-1[/tex]

Thus, the y-intercept b = -1

Step 2 of 2

substitute the values

substitute b = -1 and m = 1/2 in the slope-intercept form of the line equation

[tex]y = mx+b[/tex]

[tex]y=-\frac{1}{2}x+\left(-1\right)[/tex]

[tex]\:y=-\frac{x}{2}-1[/tex]

Conclusion:

Therefore, the equation in the slope-intercept form will be:

[tex]\:y=-\frac{x}{2}-1[/tex]

The graph of the line equation is also attached.

A Line That Includes The Point (6,-4) Has A Slope Of -1/2 Whats The Equation In Slope Intercept Form

Related Questions

find p when t=3 if P=4t squared

Answers

The answer is as follows:

P = 4(9) = 36

Given angle 1 and angle 2 are linear pair; mangle 1 =120 degrees prove angle 2 is acute

Answers

Answer:

angle a + angle b has to equal 180

Step-by-step explanation:

180-120=60

For the function g(x) =10 x ^5/x-2, what is the inverse function?

Answers

Answer:

[tex]g^{-1}(x) =(\frac{x}{10})^{5} +2[/tex]

Step-by-step explanation:

So we have the function [tex]g(x)=10\sqrt[5]{x-2}[/tex]. To find the inverse, we first set the function equal to y:

[tex]y=10\sqrt[5]{x-2}[/tex]

Then, we switch all the y and x variables, like this:

[tex]x=10\sqrt[5]{y-2}[/tex]

Now, we solve for y to find the inverse function:

[tex]x=10\sqrt[5]{y-2}[/tex]

[tex]\frac{x}{10} =\sqrt[5]{y-2}[/tex]

[tex](\frac{x}{10})^{5} =y-2[/tex]

[tex](\frac{x}{10})^{5} +2=y[/tex]

[tex]y=(\frac{x}{10})^{5} +2[/tex]

[tex]g^{-1}(x) =(\frac{x}{10})^{5} +2[/tex]

Can someone help me the question is 3 7/5+ 6 7/8 (note these are mixed fractions

Answers

Answer:

11 11/40

Step-by-step explanation:

3 7/5 + 6 7/8 = 22/5 + 55/8 = 176/40 + 275/40 = 451/40 = 11 11/40

I will give brainiest if right please help im about to get grounded for 6 months
A prism and two nets are shown below:

Image of a right triangular prism and 2 nets. The triangle bases have base 4, height 3, and diagonal side 5. The length of the prism from the bases is 9.4. Net A has 3 rectangles in a row. The middle one has sides AC and CD. This middle one has triangle ABC on top and identical triangle below. Net B is the same except that the triangle base ABC is on top of the last rectangle which has sides AC and CD. Units are in inches.

Part A: Which is the correct net for the prism? Explain your answer. (2 points)

Part B: Write the measurements of Sides AB, BC, and CD of the correct net. (4 points)

Part C: What is the surface area of the prism? Show your work. (4 points)

Answers

Answer:

Pt A:I would say net A because if you fold net b it's going to be very tricky and hard to make and if you fold net A you get the exact shape.

Pt B:AB is 3in BC is 4 in and CD is 5 in.

Step-by-step explanation:

i hope this helps this helps you get out of trouble

Answer:

Pt A:I would say net A because if you fold net b it's going to be very tricky and hard to make and if you fold net A you get the exact shape.

Pt B:AB is 3in BC is 4 in and CD is 5 in.

Step-by-step explanation:

yep

Helpppp quick I give brainliest

Answers

Find the are of the 3 shapes and then add them together

Area of rectangle = length x width
= 10 x 5
= 50

Area of parallelogram = base x height
= 10 x 4
= 40

The area of the composite figure:
= 50 + 40
= 90 m²

Mrs. Roberson has 5 more students in her class than Mr. Monroe. Together, they have 57 students. Write an equation that can be used to find the number of students in Mr. Monroe’s (m) class. Solve the equation.

Answers

Answer:

Step-by-step explanation:

the basic number will be represented by X so, the equation will be

Mr. Monroe Mrs. Roberson

X X+5

57 = X + (X+5)

Mount Mo is 5323 feet tall dawn climbed it in five days she climbed 821 feet on the last day how many feet did she climb in the first four days

Answers

Answer:

1,125.5

Step-by-step explanation:

You subtract the amount she climbed on the last day then divide the difference by four

Answer:

She climbed 4502 feet the first four days and if she climbed the same amount each of those four days she climbed 1125.5 each day!

Tia shares 53 balloons equally among 4 children. How many balloons will be left over?

Answers

Answer:

1 balloon

Step-by-step explanation: if we take 53 divided by 4, we get 13 so each child gets 13 balloons leaving one behind

Answer:

53 divided by 4 = 13.25

Step-by-step explanation:

How many solutions does the system have?

2x + 3y = -6

3x - 4y = -12

Answers

Answer:

x=-6+y

Step-by-step explanation:

656&7-

=-6+2x

Tera can jog 5.5 miles in one hour.At the same rate, how far can she jog in 2 hours?

Answers

Answer:

Jehsbdbsjahsbdbwishbxj

Step-by-step explanation:

A penguin 10 feet in 5 seconds. At this speed: How long does it take the penguin to walk 52 feet?

Answers

Answer:

26 seconds

Step-by-step explanation:

If we want to find out how long it takes to walk 52 feet, we should start by figuruing out how long it takes to walk 50 feet.

10 x 5 is equal to 50

It takes 5 seconds to walk ten feet, and 5 x 5 = 25

Then, because 2 is 1/5 of 10, find 1/5 of 5, which is 1

Add 1 to 25 and you have your answer.

The box for the cake in the shape of a cube with edges 9 inches in length .How many square inches of cardboard are needed to make the box ?

Answers

Answer:

486²in

Step-by-step explanation:

9×9=81 (gives you one face of the cube)

81×6=486 (there are 6 faces on a cube)

Susan has a round cake. The cake has a
diameter of 20 cm. Susan wants to put a ribbon round the cake. What is
the least length of ribbon she can use? Give your answer to 1 decimal
place.

Answers

Answer:

62.83 cm is the length of the ribbon needed

HELP HELP HELP ILL MARK BRAINLIEST

Answers

Answer:

Step-by-step explanation:

answer 1 is correct! it is an SRS

Work out p if r =3 and t=4

P=2r+3t

Answers

P=18 because 3 times two is 6 and 4 times 3 is 12 so when you add them you get 18

NEED HELP ASAP! WILL MARK BRAINLIEST!!!

Find the common logarithm of 0.459
log 0.0459=______

Answers

I think its -.338 if I understand the question right

Find the value of x for g(x) = -x + 5 when g(x) = 2.

Answers

Answer:

Step-by-step explanation:

The answer is -3.
Explanation:
1. Substitute
2. Use Order of operation

Describe in your own words how the picture above shows 3(2 + x)

Answers

Answer:

6 + 3x

Step-by-step explanation:

3 * 2 and 3 *x

= 6 + 3x

you can not break that down any farther so it stays at "6 + 3x".

Hope this helps!

Answer:

3(2 + x) = 0

6 + 3x = 0

3x = -6

x = -6/3

x = -2

Hope this help. Do vote me for this. Thanks.

There are 70 students in the school band. 40% of them are sixth graders, 20% are seventh graders, and the rest are eighth graders. How many students are sixth graders?

Answers

Answer:

28 students are in 6th grade

Help please! I really need it! please dont guess if you dont know, dont answer.....( this is basic geometry im just dum'b) part 3

Answers

Step-by-step explanation:

80°

approximately

I am 99%sure but I do not know the 1%

Yep, it is 80 because Angle2 is the same as Angle6

P.S Angle6+Angle8= 180

find the rational number between 3,14 and π

Answers

Answer: Its rational

Step-by-step explanation:A rational number is one that can be made as a fraction. 3.14 is simply 314/100, so yes it's rational. Pi, of which the first 3 digits are 3.14 but it then goes on endlessly, is irrational.

Which property is this an example of?

Answers

Answer:

Inverse property of multiplication!

Step-by-step explanation:

Answer:

Inverse multiplication property

Step-by-step explanation:

(-8.7) × (-10) =?

? = ___

Answers

Answer:

Step-by-step explanation:

Two negatives multipliedd together makes a postive and then 8.7 x 10 is 87.

Answer: 87

Step-by-step explanation:

tnmtmapat

PLZ HELP A GIRL OUT SHES STRUGGLING‼️

Answers

Answer:

y=p(1+R/100)^t

y=10000(1+1.5/100)¹

=10000×1.015

=$10150

find the sum of 8a+2b-4 and 3b-5. write. in expanded form and then standard form

Answers

Answer: 2^3

Step-by-step explanation:

como puedo borrar mi cuenta de brainly desde mi cel porfa desde mi celular alguien que sepa porfaaaaaaa

Answers

Answer:

ve a yo busca ajustes y cierra

Step-by-step explanation:

ve a yo busca ajustes y vusca cerrar secion

The table shows the number of passengers that can be transported in a company's vans. How many passengers can b
transported in five vans?
Plz help

Answers

Answer: 60 passengers

Step-by-step explanation: i got it right on edge

Answer:

your answer is 60

Step-by-step explanation:

i got it correct

PLEASE PLEASE HELP I WILL GIVE THE BRAINLIEST

You sell a pair of AirPods Pro to a customer for $189. If the sales tax is 5%,
what will the final price be for the pair of AirPods Pro (including tax)?

Answers

Answer:

9.45+189=198.45

Step-by-step explanation:

10. Inductive Reasoning means...
a) Guessing
b) Testing and observing patterns to make
conjectures
O c) Explaining why
d) Ura nok seblu!

Answers

I believe it’s b
Hope this helps

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