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lubasha [3.4K]
2 years ago
15

What is the slope of the line that passes through the points (-6, 8) and (-9, 7)? Write your answer in simplest form.

Mathematics
2 answers:
yanalaym [24]2 years ago
6 0

Answer:

m=1/3

equation y=1/3x+10

Step-by-step explanation:

Find the rise and run.

1. -6--9=run=3

2. 8-7=rise=1

hoa [83]2 years ago
3 0

Hi student, let me help you out! :)

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

We are asked to find the slope of the line that passes through (-6, 8) and (-9, 7).

\triangle~\fbox{\bf{KEY:}} (formula for Slope)

\longmapsto\bf{\cfrac{y2-y1}{x2-x1}}

y2 & y1 = the y-coordinates of the two points

x2 & x1 = the x-coordinates of the two points

\ddot\bigstar Remember this...

\fbox{y2\;and\;y1\;are\;y-coordinates\;of\;the\;two\;points,\;and\;x2\;and\;x1\;are\;x-coordinates}}

So we substitute the values and obtain:

\bf{\cfrac{7-8}{-9-(-6)}

Simplifying:

\bf{\cfrac{-1}{-9+6}}

Simplifying more:

\bf{\cfrac{-1}{-3}}

Divide the top and bottom by -1:

\bf{\cfrac{1}{3}}

There's the slope.

Hope it helps you out! :D

Ask in comments if any queries arise.

~Just a smiley person helping fellow students

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