Question

a line passes through the points (2, -3) and (b, 7) is parallel to the line y=-2x + 17. Find the value of b.

Answer 1

For the lines to be parallel, the slope must be the same

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

(7- (-3)) / (b-2) = -2

-2 (b-2) = 10

-2b + 4 = 10

-2b = 6

b = -3