Question

Which equation represents a line that passes through (–9, –3) and has a slope of –6?

Answer 1

y + 3 = –6(x + 9)

Explanation:

Answer 2

y = - 6x - 57

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - 6, thus

y = - 6x + c ← is the partial equation

To find c substitute (- 9, - 3) into the partial equation

- 3 = 54 + c ⇒ c = - 3 - 54 = - 57

y = - 6x - 57 ← equation of line