Answer:
y = - 8x + 12
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 = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (1, 4) and (x₂, y₂ ) = (10, - 68)
m = [tex]\frac{-68-4}{10-1}[/tex] = [tex]\frac{-72}{9}[/tex] = - 8, thus
y = - 8x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (1, 4), then
4 = - 8 + c ⇒ c = 4 + 8 = 12
y = - 8x + 12 ← equation of line
