Question

Find the equation of a line parallel to y - 5 = 6x - 10 that passes through the point (4, 10). (answer in slope-intercept form)

A) y = 6x - 14

B) y = 6x + 14

C) y = -6x - 14

D) y = 1/6x - 14

Answer 1

A

Explanation:

the equation of a line in slope- intercept form is

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

rearrange y - 5 = 6x - 10 into this form

y = 6x - 5 ← in slope-intercept form

with slope m = 6

• Parallel lines have equal slopes, hence

y = 6x + c ← is the partial equation

to find c substitute (4, 10) into the partial equation

10 = 24 + c ⇒ c = 10 - 24 = - 14

y = 6x - 14 ← equation of parallel line → A