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Find if the point (3, a)  is on the line that passes through (-2, 7) and (5, -3).

 Nov 1, 2020
 #1
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3 is 5/7 of the way from -2 to 5

-1/7  is 5/7 of the way from 7 to -3      a = -1/7

 Nov 1, 2020
 #2
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1. We can find the slope of the line: (-3-7)/(5-(-2)) = -10/7.

2. Plug in the point (3,a) to find the slope: (-3-a)/(5-3) = -10/7.

3. Cross multiply to get the equation: -20 = -21 - 7a.

 

This gives us -1/7 = a.

 

Hope this helped!

 Nov 1, 2020
 #3
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thxx

 Nov 1, 2020

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