Question

A line has this equation: y= -9x-2

Answer 1

Answer:

y = - 9x + 15

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 = - 9x - 2 ← is in slope- intercept form

with slope m = - 9

Parallel lines have equal slopes, thus

y = - 9x + c ← is the partial equation

To find c substitute (2, - 3) into the partial equation

- 3 = - 18 + c ⇒ c = - 3 + 18 = 15

y = - 9x + 15 ← equation of parallel line