The lines in which pair are parallel?

Question

(a.) y= 2x + 2 & y= 3x + 2

(b.) y= -2x + 3 & y= 2x - 2

(c.) y= 0 & y= 25

(d.) y=3x-4 & y= x+5

Please help I don't understand

Answer 1

c) y=0 and y=25 are parallel lines. both are flat horizontal lines with slope =0

to be parallel, the equations, when solved for y must have x terms with the same coefficient. y=0 and y=25 are the same as y=0(x)+0 and y=0(x) +25. They both have x terms with 0 as the coefficient. the slopes are both the same: zero.

a) has x coefficients of 2 and 3

b) has -2 and 2

d) has 1 and 3

only c) has x coefficients that are the same for the two equations