Answer :
Answer:
y = - [tex]\frac{5}{4}[/tex] x - 8
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 )
To find m use the slope formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 8, 2) and (x₂, y₂ ) = (- 4, - 3)
m = [tex]\frac{-3-2}{-4+8}[/tex] = - [tex]\frac{5}{4}[/tex]
y = - [tex]\frac{5}{4}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
using (- 4, - 3), then
- 3 = 5 + c ⇒ c = - 3 - 5 = - 8
y = - [tex]\frac{5}{4}[/tex] x - 8 ← equation of line