Answer:
see explanation
Step-by-step explanation:
y = ax + b is the equation in slope- intercept form
where a is the slope of the line and b is the y- intercept
To find a use the slope formula
a = (y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 3, 1) and (x₂, y₂ ) = (1, - 2)
a = [tex]\frac{-2-1}{1+3}[/tex] = - [tex]\frac{3}{4}[/tex] = - 0.75, hence
y = - 0.75 + b
To find b substitute either of the 2 points into the equation
using (1, - 2), then
- 2 = - 0.75 + b ⇒ b = - 2 + 0.75 = - 1.25 = - 1 [tex]\frac{1}{4}[/tex]
