Answer:
y = [tex]\frac{1}{2}[/tex] x - 2
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 ) = (- 6, - 5) and (x₂, y₂ ) = (- 4, - 4)
m = [tex]\frac{-4+5}{-4+6}[/tex] = [tex]\frac{1}{2}[/tex], thus
y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (- 6, - 5), then
- 5 = - 3 + c ⇒ c = - 5 + 3 = - 2
y = [tex]\frac{1}{2}[/tex] x - 2 ← equation of line
