Line p has an equation of y=8/3x+2. Line q, which is parallel to p, includes the point (-2,-5). What is the equation of line q?

y = x +

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 = x + 2 ← is in slope- intercept form

with slope m =

Parallel lines have equal slopes , thus

y = x + c ← is the partial equation

To find c substitute (- 2, - 5) into the partial equation

- 5 = - + c ⇒ c = - 5 + =

y = x + ← equation of parallel line

use distributive property on all like terms and change your signs if you have a double negative or if you have positive/negative

the answer to your question is b.