Answer:
y = - 2x + 8
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 ) = (2, 4) and (x₂, y₂ ) = (5, - 2)
m = [tex]\frac{-2-4}{5-2}[/tex] = [tex]\frac{-6}{3}[/tex] = - 2, then
y = - 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, 4)
4 = - 4 + c ⇒ c = 4 + 4 = 8
y = - 2x + 8 ← equation of line
