Respuesta :

Answer:

y = - [tex]\frac{1}{2}[/tex] x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

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

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 2, 0) and (x₂, y₂ ) = (4, - 3)

m = [tex]\frac{-3-0}{4+2}[/tex] = [tex]\frac{-3}{6}[/tex] = - [tex]\frac{1}{2}[/tex], thus

y = - [tex]\frac{1}{2}[/tex] x + b ← is the partial equation

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

Using (- 2, 0 ), then

0 = 1 + b ⇒ b = 0 - 1 = - 1

y = - [tex]\frac{1}{2}[/tex] x - 1 ← in slope- intercept form