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