Answer:
y = [tex]\frac{4}{3}[/tex] x + 4
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 ) = (- 6, - 4) and (x₂, y₂ ) = (3, 8)
m = [tex]\frac{8-(-4)}{3-(-6)}[/tex] = [tex]\frac{8+4}{3+6}[/tex] = [tex]\frac{12}{9}[/tex] = [tex]\frac{4}{3}[/tex] , then
y = [tex]\frac{4}{3}[/tex] x + c ← is the partial equation
To find substitute either of the 2 points into the partial equation
Using (3, 8 ) , then
8 = 4 + c ⇒ c = 8 - 4 = 4
y = [tex]\frac{4}{3}[/tex] x + 4 ← equation of line
