Question

The pair of points (6,y) and (10,-1) lie on a line with slope 1/4 ?

Answer 1

slope = (y2-y1)/(x2-x1)

1/4 = (y--1)/(6-10)

1/4 = (y+1)/(-4)

multiply by -4 on each side

-1 = y+1

subtract 1 from each side

-2 = y