Question

Find an equation of the line that passes through (4,5) and that line is parallel to y=3x+2. Give the answer in slope-Intercept form

Answer 1

y = 3x - 7

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 + 2 ← is in slope- intercept form

with m = 3

Parallel lines have equal slopes, thus

y = 3x + c ← is the partial equation

To find c substitute (4, 5) into the partial equation

5 = 12 + c ⇒ c = 5 - 12 = - 7

y = 3x - 7 ← equation of line