SOLUTION: Question Write in slope-intercept form an equation of the line that passes through the given points. (-9,5) (-3,3)

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Question 1208658: Question
Write in slope-intercept form an equation of the line that passes through the given points. (-9,5) (-3,3)
Found 2 solutions by math_tutor2020, josgarithmetic:
Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

Let's find the slope.




m+=+%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29

m+=+%283+-+5%29%2F%28-3+-+%28-9%29%29

m+=+%283+-+5%29%2F%28-3+%2B+9%29

m+=+%28-2%29%2F%286%29

m+=+-1%2F3
The slope is -1/3 which means go down 1 and then right 3.

Next apply the point-slope template.
y-y%5B1%5D+=+m%28x+-+x%5B1%5D%29

y-y%5B1%5D+=+expr%28-1%2F3%29%28x+-+x%5B1%5D%29 Plug in the slope.

y-5+=+expr%28-1%2F3%29%28x+-+%28-9%29%29 Plug in one of the point's coordinates.

y-5+=+expr%28-1%2F3%29%28x+%2B+9%29

y-5+=+expr%28-1%2F3%29x+-+expr%281%2F3%29%289%29

y-5+=+expr%28-1%2F3%29x+-3

y+=+expr%28-1%2F3%29x+-3%2B5

y+=+expr%28-1%2F3%29x+%2B2 is the final answer

Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
y=mx%2Bb basic slope-intercept form

Choose one of the points, maybe, (-3,3).

y=%28%285-3%29%2F%28-9-%28-3%29%29%29x%2Bb
y=%28-2%2F6%29x%2Bb
y=-x%2F3%2Bb
and using the chosen point,
3=-%28-3%29%2F3%2Bb
3=1%2Bb
b=2

The equation wanted is highlight%28y=-x%2F3%2B2%29