Question

What is the equation for the line that passes through W(2, −3) and is parallel to the line

y = 3x + 5 ?

Answer 1

y = 3x - 9

Explanation:

The equation of a line in slope- intercept form is

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

y = 3x + 5 ← 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 (2, - 3) into the partial equation

- 3 = 6 + c ⇒ c = - 3 - 6 = - 9

y = 3x - 9 ← equation of line