what is the slope intercept form of the equation of the line described by (-4,-5), parallel to y=-2x - 5

y = - 2x - 13

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 = - 2x - 5 ← is in slope - intercept form

with m = - 2, thus

y = - 2x + c ← is the partial equation of the line

To find c substitute ( - 4, - 5) into the partial equation

- 5 = 8 + c ⇒ c = - 5 - 8 = - 13

y = - 2x - 13 ← equation of line