) Write 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 slope m = - 2

Parallel lines have equal slopes, thus

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

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

- 5 = 8 + c ⇒ c = - 5 - 8 = - 13

y = - 2x - 13 ← equation of parallel line