a line passing through the points (8, -3) and (7, k) has a slope of -3. Find the value of k.
The slope is given by
[y2 - y1] / =x2 - x1]
So
(x1 , x2) (y1, y2) =
( 8 . -3) ( 7, k)
[ k - -3] / [ 7 - 8 ] = -3 simplify
[ k + 3] / [-1] = -3 multiply both sides by -1
k + 3 = 3 subtract 3 from both sides
k = 0
