Question

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

Y = 5x + 10; (2, 14)

A) y = 1/5x + 4
B) y = -1/5x - 4
C) y = 5x - 68
D) y = 5x + 4

Answer 1

D

Explanation:

the equation of a line in slope- intercept form is

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

y = 5x + 10 is in this form with slope m = 5

• Parallel lines have equal slopes, hence

y = 5x + c ← is the partial equation

to find c substitute (2, 14) into the partial equation

14 = 10 + c ⇒ c = 14 - 10 = 4

y = 5x + 4 ← equation of parallel line → D