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

User Lenniekid
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2 Answers

5 votes

Answer:

m=1/3

equation y=1/3x+10

Explanation:

Find the rise and run.

1. -6--9=run=3

2. 8-7=rise=1

User Ian Emnace
by
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5 votes

Hi student, let me help you out! :)

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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

User Dan Harris
by
8.2k points

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