Question

What is the equation of the line that is parallel to the line y = -1/3x+4

Answer 1

Answer:

B

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 + 4 ← is i slope- intercept form

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

Parallel lines have equal slopes, thus

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

To find c substitute (6, 5) into the partial equation

5 = - 2 + c ⇒ c = 5 + 2 = 7

y = - $\frac{1}{3}$ x + 7 ← equation of parallel line