Question

MULTIPLE CHOICE PLEASE HELP

Answer 1

Answer:

C

Step-by-step explanation:

The equation of a line in slope- intercept form is

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

y = $\frac{1}{3}$ x + 5 ← is in slope- intercept form

with slope m = $\frac{1}{3}$

• Parallel lines have equal slopes, hence

y = $\frac{1}{3}$ x + c ← is the partial equation of the parallel line

To find c substitute (- 6, 0) into the partial equation

0 = - 2 + c ⇒ c = 0 + 2 = 2

y = $\frac{1}{3}$ x + 2 → C