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 Find y if the point (-6,y) is on the line that passes through (-1,-7) and (3,-2).

 Jul 10, 2021
 #1
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y=18.25. I can't explain. Im sorry. 

 Jul 10, 2021
 #2
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the gradient of the line joining those points is    (-2- -7)/(3- -1) = 5 / 4 = 1.25

 

so the gradient from either of those points to (-6,y) must also be  1.25

 

\(\frac{y- -2}{-6 - 3}=1.25\\ \frac{y+2}{-9}=1.25\\ y+2=-11.25\\ y=-13.25\)

 

You can graph those points to check that they are collinear  ( in a line)

 Jul 10, 2021
edited by Melody  Jul 10, 2021
edited by Melody  Jul 10, 2021

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