Question

Write an equation for the line that is parallel to the given line and passes through the given point

y= 2x + 4; (3,8)

Answer 1

y = 2x + 2

Explanation:

The equation ofa line in slope- intercept form is

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

y = 2x + 4 ← is in slope- intercept form

with m = 2

Parallel lines have equal slopes , thus

y = 2x + c ← is the partial equation

To find c substitute (3, 8) into the partial equation

8 = 6 + c ⇒ c = 8 - 6 = 2

y = 2x + 2 ← equation of parallel line