Question

write the equation of the line that is parallel to the line y = 2x 2 and passes through the point (5, 3). a. y = 2x - 7 b. y=-1/2x-2 c. y = 2x - 2 d. y=-1/2x-7

Answer 1

Parallel lines has equal slopes. Line y = 2x + 2 has a slope of 2, hence required slope is 2
Required equation is y - y1 = 2(x - x1)
y - 3 = 2(x - 5)
y - 3 = 2x - 10
y = 2x - 10 + 3
y = 2x - 7