Question

What is the equation of a line parallel to y=7x-8 that passes through (5, 22)?

Answer 1

Answer:

y = 7x - 13

Step-by-step explanation:

The equation of a line in slope- intercept form is

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

y = 7x - 8 ← is in slope- intercept form

with slope m = 7

Parallel lines have equal slopes, thus

y = 7x + c ← is the partial equation

To find c substitute (5, 22) into the partial equation

22 = 35 + c ⇒ c = 22 - 35 = - 13

y = 7x - 13 ← equation of parallel line