parallel equations

Question

which equation represents a line which is parallel to the line y=-7/2x-3?

a) 7x+2y=-16

b) 2y-7x=10

c) 2x-7y=-14

d) 2x+7y=-42

Answer 1

a) it's only one that has slope -7/2 to be parallel the slope must be the same

solve the equation for y and the slope is the coefficient of the x term

7x+2y = -16

2y = -7x -16

y = -(7/2)x - 8

ignore the constant term. It does not affect the slope.