Write the equation of the line in fully simplified slope-intercept form.

y = - 6x - 8

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 )

Calculate m using the slope formula

m =

with (x₁, y₁ ) = (- 3, 10) and (x₂, y₂ ) = (- 1, - 2) ← 2 points on the line

m = = = = - 6

the line crosses the y- axis at (0, - 8 ) ⇒ c = - 8

y = - 6x - 8 ← equation of line