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Ulleksa [173]
3 years ago
7

20 points

Mathematics
2 answers:
lianna [129]3 years ago
7 0

Answer:

\displaystyle y-9=\frac{1}{2}(x-8)\text{ or } y-4=\frac{1}{2}(x+2)

Step-by-step explanation:

Point-slope form is given by:

\displaystyle y-y_1=m(x-x_1)

Where (<em>x₁, y₁</em>) is a point and <em>m</em> is the slope.

So, first, we will find the slope using the two points (8, 9) and (-2, 4). We can use the slope formula:

\displaystyle m=\frac{\Delta y}{\Delta x}=\frac{4-9}{-2-8}=\frac{-5}{-10}=\frac{1}{2}

Next, pick either of the two points and substitute it into the point-slope formula. Using (8, 9), we acquire:

\displaystyle y-9=\frac{1}{2}\left(x-8\right)

And using (-2, 4), we acquire:

\displaystyle y-4=\frac{1}{2}\left(x -(-2)\right)\Rightarrow y-4=\frac{1}{2}\left(x+2\right)

Both of these are valid answers.

Colt1911 [192]3 years ago
6 0

Answer:

y-9=1/2(x-8)

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(4-9)/(-2-8)

m=-5/-10

m=1/2

y-y1=m(x-x1)

y-9=1/2(x-8)

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