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