Question

Write the equation of a line parallel to y=3x-8 that goes through the point (-4,7). Write the final answer in slope intercept form.

Answer 1

y = 3x + 19

Explanation:

The equation of a line in slope- intercept form is

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

y = 3x - 8 ← is in slope- intercept form

with slope m = 3

Parallel lines have equal slopes , thus

y = 3x + c ← is the partial equation

To find c substitute (- 4, 7) into the partial equation

7 = - 12 + c ⇒ c = 7 + 12 = 19

y = 3x + 19 ← equation of parallel line