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sineoko [7]
3 years ago
7

Find the equation of the line using the point-slope formula. write the final equation using the slope-intercept form. the x-inte

rcept is 1, and (x, y) = (−2, 15) is a point on the line

Mathematics
1 answer:
Masja [62]3 years ago
7 0
You are given two points on the line: (-2, 15) and (1, 0). (the x-int is where y equals zero)

This allows you to use the slope formula to solve the slope, m. (see first image, first equation in red). The slope is 15.

Then, as in the second picture, plug in the slope and a point into the point slope equation. I used the point (1, 0) but using the other point should yield the same answer.

To change it to slope intercept form, distribute the slope to the numbers in the parentheses and then add/subtract the number on the left side to have y by itself. The answer ended up as y=15x-15

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Midpoint of (1,3) and (4,-5)
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Answer:

The rigth answer is, ( 5/2 , -1 )

Step-by-step explanation:

To find the midpoint we use the respective formula:

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We replace:

m = ( 1 + 4/2  ,  3 + (- 5) / 2 )

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m = ( 5/2 ,  -1 )

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Urgent Help math question!
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4 years ago
<img src="https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%2B%20%20%5Cfrac%7Bw%7D%7B3%7D%20" id="TexFormula1" ti
ElenaW [278]

Answer:  \bold{w=\dfrac{6y-3}{2}}

<u>Step-by-step explanation:</u>

Isolate w by performing the following steps

  • Multiply by 6 on both sides to clear the denominator
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  • Divide both sides by 2

y=\dfrac{1}{2}+\dfrac{w}{3}\\\\\\6\bigg[y=\dfrac{1}{2}+\dfrac{w}{3}\bigg]\quad \implies \quad 6y=3+2w\\\\\\6y-3=3-3+2w\quad \implies \quad 6y-3=2w\\\\\\\dfrac{6y-3}{2}=\dfrac{2w}{2}\quad \implies \quad \large\boxed{\dfrac{6y-3}{2}=w}

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3 years ago
Write each expression as a single power of 10​
swat32

Answer:

<u>It</u><u> </u><u>is</u><u> </u>

<u>{10}^{5}</u>

Step-by-step explanation:

\frac{ {10}^{4}. {10}^{5}  . {10}^{6} }{ {10}^{3} . {10}^{7} }  =  \frac{ {10}^{(4 + 5 + 6)} }{ {10}^{(3 + 7)} }  \\  \\  =  \frac{ {10}^{15} }{ {10}^{10} }  \\  \\  =   {10}^{(15 - 10)}  \\  =  {10}^{5}

3 0
3 years ago
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