Answer:
m = - 2 , c = 6
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 ) = (- 1, 8 ) and (x₂, y₂ ) = (3, 0 )
m = [tex]\frac{0-8}{3-(-1)}[/tex] = [tex]\frac{-8}{3+1}[/tex] = [tex]\frac{-8}{4}[/tex] = - 2 , then
y = - 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
using (3, 0 )
0 = - 6 + c ⇒ c = 0 + 6 = 6
