Question

Mathematics Slope Mh

Answer 1

Answer:

y = - 2x - 6

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 = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 2, - 2) and (x₂, y₂ ) = (1, - 8)

m = $\frac{-8+2}{1+2}$ = $\frac{-6}{3}$ = - 2, thus

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

To find c substitute either of the 2 points into the partial equation

Using (- 2, - 2), then

- 2 = 4 + c ⇒ c = - 2 - 4 = - 6

y = - 2x - 6 ← equation of line