Answer:
y = [tex]\frac{1}{2}[/tex] x - 3
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 = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 22, - 14) and (x₂, y₂ ) = (- 18, - 12)
m = [tex]\frac{-12+14}{-18+22}[/tex] = [tex]\frac{2}{4}[/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 (- 18, - 12) , then
- 12 = - 9 + c ⇒ c = - 12 + 9 = - 3
y = [tex]\frac{1}{2}[/tex] x - 3 ← equation of line