Answer:
y = - 3x + 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 = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (8, - 16) and (x₂, y₂ ) = (1, 5)
m = [tex]\frac{5+16}{1-8}[/tex] = [tex]\frac{21}{-7}[/tex] = - 3, thus
y = - 3x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (1, 5), then
5 = - 3 + c ⇒ c = 5 + 3 = 8
y = - 3x + 8 ← equation of line
