Write an equation in point-slope form and slope-intercept form for each line.

1. passes through (4, 7), slope = 2
2. passes through (–2, –1), slope = 4
3. passes through (8, –4), slope = 1/2

Answers

Answer 1

A: Slope-intercept form: y = 2 x − 1 Point-slope form: y − 7 = 2 ⋅ ( x − 4 )

B: Slope-intercept form: y = 4 x + 7 Point-slope form: y + 1 = 4 ⋅ ( x + 2 )

C: Slope-intercept form: y = 1/2 x − 8 Point-slope form: y + 4 = 1/2 ⋅ ( x − 8 )


Related Questions

Write a linear equation for the graph of the line.

Answers

Answer:

If you want a deteled answer tell me!

Step-by-step explanation:

Answer:

y = -2x + 2

Step-by-step explanation:

y = mx + b

b is the y-intercept and is 2.

m is the slope.

Start at (0, 2), the y-intercept. Go down 2 units and right 1 unit.

That is a rise of -2 and a run of 1.

m = slope = rise/run = -2/1 = -2

Answer: y = -2x + 2

What is the average of 6 and 10?

Answers

Answer:

j

Step-by-step explanation:

u

Answer:

8

Step-by-step explanation:

Can someone help me?
FIND THE VALUE OF X

Answers

Answer: x = 29

Step-by-step explanation:

both angles are the same

so:

2x = 3x-29

2x - 3x = -29

-x = -29

x = 29

Write three equivalent ratios for the given ratio

the first one 4/3

2nd. 12/14

3rd 6/9

Answers

Answer:

For the first one:

[tex] \frac{8}{6} \\ \frac{12}{9} \\ \frac{16}{12} [/tex]

for the second one:

[tex] \frac{6}{7} \\ \frac{24}{28} \\ \frac{36}{42} [/tex]

For the third one:

[tex] \frac{2}{3} \\ \frac{4}{6} \\ \frac{12}{18} [/tex]

Pls Helpp meee Which one is it??? I will give u brainliest

Answers

Answer:

The answer will be the last one which means that will 2

Step-by-step explanation:

You need to find

(f.g)=2 or (f.g) (-2)=2

What time would it be if the minute hand rotated 90° counterclockwise from the current time

Answers

Answer:

Step-by-step explanation:

Time is the same, but the click will appear to be 15 minutes fast.

Answer:

10:15

Step-by-step explanation:

Rotating an object around a fixed point means moving it in a circular motion while it remains attached to a center of rotation.

PLEASE HELP!!!!! (PICTURE BELOW!!)

Answers

Draw a right triangle. The Pythagorean theorem is a^2 + b^2 = c^2
Your answer would be with the variable c
3^2 + 4^2 = c^2
9 + 16 = c^2
c^2 = 25
c = 5
Your welcome! :)

Find the circumference of the circle. please hurry

Answers

Answer:

37.68cm

Step-by-step explanation:

C=2πr=2·π·6

find the shaded area

Answers

Answer:

88.85 Sq m

Step-by-step explanation:

For rectangle:

Length = 18 - 7.8 = 10.2 m

Width = 7.8 m

For both semicircular arcs:

Radius (r) = 7.8/2 = 3.9 m

Area of the shaded region = Area of rectangle + 2*Area of a semicircle - Area of circle with radius 3.5 m

[tex] = lb + 2 \times \frac{1}{2} \pi \times {(3.9)}^{2} - \pi \times {(3.5)}^{2} \\ \\ = 10.2 \times 7.8 + \pi \{{(3.9)}^{2} - (3.5)^{2} \} \\ \\ = 79.56 + \pi {(3.9 + 3.5)} (3.9 - 3.5) \\ \\ = 79.56 + 3.14 \times 7.4 \times 0.4 \\ \\ = 79.56 + 9.2944 \\ \\ = 88.8544 \\ \\ \approx 88.85 \: {m}^{2} [/tex]

A test consist of 20 questions, with the true/false questions worth two points each and the short answer questions worth six points each. If the test is worth 100 points, how many true/false questions are on the test?

Answers

Answer:

5

Step-by-step explanation:

Let the number of true or false questions be x.

2x+(20-x)6=100

2x+120-6x=100

-4x=-20

x=5

Ans: There are true or false questions

Plssssss HELP ASAPPPPP

Answers

Answer:

The formula for an exponential decay problem is: y = x (1 - r)^x

 

Where x = initial amount, r = rate of decay and x = # time periods

 

So, x = $258, r = 8% = .08 and x = 11 years

 

y = 258 (1 - 0.08)^11 = 258 (0.92)^11 = 258 * 0.3996 = $103.10

Step-by-step explanation:

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

Answers

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.

HELP WHAT IS THE SLOPE!!!!!!!

Answers

Answer:

-9/7

Step-by-step explanation: it’s parallel so it must have the same slope as line C.

Find the Surface Area of the following figure:
16 ft
7 ft
10 ft

Answers

Answer:

684

Step-by-step explanation:

2/5 x 5/6 simplest form

Answers

Answer:

1/3

Step-by-step explanation:

2/5 x 5/6

10/30

1/3

Find two numbers such that their sum
is 337 and their
difference is 43?

Answers

I think that would have to be 257 and 286

For part of a recipe, Jada adds 0.35 milliliters of vanilla extract to 16.4 milliliters of milk. How many milliliters does the mixture contain?

Answers

Answer: 16.75 milliliters

Step-by-step explanation:

I believe it is 16.75 because 0.35 + 16.4 is 16.75 why is it addition decimals? Because it says How many milliliters does the mixture contain. It is talking about both combined, I hope this helps you if not sorry this was rushed! I am also 3rd Grade this Year! :D

The total mixture is 16.75 ml

What is a mixture?

Mixture is a combination of two or more elements to form a third element.

Given here, Jada mixes 0.35 ml to 16.4 ml milk and therefore the total mixture is equal to 0.35 + 16.4 = 16.75 ml

Hence Jada's mixture contains 16.75 ml

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Helppp me please should be pretty easy

Answers

Answer:

(0,3)

Step-by-step explanation:

Answer:

0, 3

Step-by-step explanation:

first find the x axis variable, (0), then find the y axis variable, (3).

Am i missing any upgrades also what is half of 138

Answers

Answer:

Half of 138 is 69 o-o

MARKING BRAINLIEST identify all of these triangles with SSS, SAS, ASA, AAS, HL, or non-congruent, please do every single one, or I will report you:)

Answers

Answer:

1. SSS

2. SAS

3. ASA

4. SAS

5. SSS

6. ASA

7. AAS

II. (The one with two triangles facing each other from the tip) SAS

II. (The other one) Non congruent

12. SSS

What's the smallest possible perimeter of a rectangle with an area of 35 cm? (36 small squares 1 cm by 1 cm)

Answers

Answer:

12 miles per hour...........

ما النتائج المترتبة على :-
١- الاحتلال البريطاني لمصر.

Answers

In Egypt British rule had important political and economic effects. The main interest of the British in Egypt was to keep control of the trade route that ran through Egypt to the Red Sea and then on to India.

8x-5 = 9+7x What is the solution please show work if you can

Answers

Step-by-step explanation:

8x-5=9+7x

8x-7x=9+5

x=14

Answer:

8x-5 = 9+7x

8x-7x =9+5

x = 14

Please help me


The following graph shows a proportional relationship. What is the constant of proportionality between y and x in the graph?

please​

Answers

Answer:

0,3

Step-by-step explanation:

Answer:

the answer is 0.3

Step-by-step explanation:

i got it right on kahn

Find the length of AB.
АE:14
AD:12
AB:
BC:18

Answers

Answer:

Whre is the question I don't get it

find the values of P and Q (leave your answer in such form) and then calculate x (correct to 2 decimal places) ​

Answers

p = 270.65
q = 368.44
x = 429.13
(I just used Pythagoras. If its right and you want an explanation just tell me)

The values of P and Q are 270 units and 367 units respectively.

What is Pythagoras's theorem?

In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.

We know, From Pythagoras's theorem hypotenuse² = base² + height².

So, p² = 179² + 203².

p = [tex]\sqrt{179^2 + 203^2[/tex].

p = [tex]\sqrt{32041 + 41209[/tex].

p = [tex]\sqrt{73250[/tex].

p = 270.

Now, we can find q.

q = [tex]\sqrt{250^2 + 270^2[/tex].

q = [tex]\sqrt{62500 + 72900[/tex].

q = [tex]\sqrt{135400[/tex].

q = 367.

learn more about  Pythagoras's theorem here :

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Two times the smaller of two consecutive even integers is 18 more than the larger.

Answers

Answer:

2x = x+1 + 18

---

x = 19

-----------

x+1 = 20

Step-by-step explanation:

The smaller of the two consecutive even integers is 20, and the larger is 22.

What is a number system?

A numeral system is a way of writing numbers; it's a way of mathematically notating a collection of numbers by utilizing a consistent set of digits or other symbols.

Let's call the smaller of the two consecutive even integers "x".

Since the integers are consecutive and even, we know that the larger integer must be 2 more than the smaller integer. Therefore, we can represent the larger integer as "x + 2".

According to the problem statement, two times the smaller integer (2x) is 18 more than the larger integer (x + 2). We can express this algebraically as:

2x = x + 2 + 18

Simplifying this equation, we can combine like terms on the right-hand side:

2x = x + 20

Subtracting x from both sides, we get:

x = 20

Therefore, the smaller of the two consecutive even integers is 20, and the larger is 22 (since 20 + 2 = 22).

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Elizabeth bought 5 packets of sunflower seeds. Each packet contained 12 seeds. She planted 1 packet of seeds, and 6 seeds sprouted. Which statement about the seeds in the remaining packets is best supported by this information?

Answers

the growth rate will be about 50%

plz help answer if you know the answer

Answers

Answer:

I think its 12 bc of the triangle inequality theorem

The answer is 12, hope this helps!

Please help me will give brainlest to correct answer and simple/small explanation

Answers

Answer:

Im not joing to give the answer because i have something simaler that im working on and im almost done but thats why i cant give it because i dont know it yet but i do know how to solve it.

Step-by-step explanation:

You multiply all the numbers once and then thats your answer!

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