Question

Please help me out with this.........

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 ) = (- 8, 22) and (x₂, y₂ ) = (3, 0)

m = $\frac{0-22}{3+8}$ = $\frac{-22}{11}$ = - 2, thus

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

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

Using (3, 0), then

0 = - 6 + c ⇒ c = 0 + 6 = 6

y = - 2x + 6 ← equation of line