Question

Write a slope incercept equation passes through (-3, 2) and (-2, -1)​

Answer 1

Answer:

y = - 3x - 7

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 ) = (- 3, 2) and (x₂, y₂ ) = (- 2, - 1)

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

y = - 3x + c ← is the partial equation

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

Using (- 2, - 1), then

- 1 = 6 + c ⇒ c = - 1 - 6 = - 7

y = - 3x - 7 ← equation in slope- intercept form