Question

10. Which pair of equations represents parallel lines?

y=7
x=7
y = 2x+7
y = x+7
y = 2x-7
y=-1/2-7
y = 2x + 7
y = 2x - 7

Answer 1

y = 2x + 7 and y = 2x - 7

Explanation:

• Parallel lines have equal slopes

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 2x + 7 ← is in slope- intercept form

with slope m = 2

y = 2x - 7 ← is in slope- intercept form

with slope m = 2

Thus y = 2x + 7 and y = 2x - 7 are parallel lines