Answer:
y = - [tex]\frac{1}{2}[/tex] x - 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 4, - 6) and (x₂, y₂ ) = (2, - 9) ← 2 points on the line
m = [tex]\frac{-9+6}{2+4}[/tex] = [tex]\frac{-3}{6}[/tex] = - [tex]\frac{1}{2}[/tex]
Note the line crosses the y- axis at (0, - 8) ⇒ b = - 8
y = - [tex]\frac{1}{2}[/tex] x - 8 ← equation of line
