Question

Find an equation of the line that satisfies the given conditions.

Through (2, 7); parallel to the line passing through
(3, 5) and (−1, 1)

Answer 1

Parallel lines has equal slopes.
Required equation is given by
y - 7 = ((1 - 5)/(-1 - 3)) (x - 2)
y - 7 = (-4/-4) (x - 2)
y - 7 = x - 2
x - y = -7 + 2
x - y = -5