Answer:
y = - 2x + 7
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 ) = (- 2, 11) and (x₂, y₂ ) = (5, - 3)
m = [tex]\frac{-3-11}{5+2}[/tex] = [tex]\frac{-14}{7}[/tex] = - 2, thus
y = - 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (- 2, 11), then
11 = 4 + c ⇒ c = 11 - 4 = 7
y = - 2x + 7 ← equation of line
