a. Find Y if the point (-6,y) is on the line that passes through (-1,7) and (3,-2).
First....find the slope of the line = [ -2 -7] / [3 - -1] = -9/4
Next we can write the equation of the line using either point
y = (-9/4) ( x - 3) - 2
And when x = - 6
y = (-9/4) (- 6 - 3) - 2
y = (-9/4) (-9) - 2
y = 81/4 - 2
y = 81/4 - 8/4
y = 73/4
