Answer:
y = 2x + 5
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 ) = A(1, 7) and (x₂, y₂ ) = B(- 3, - 1)
m = [tex]\frac{-1-7}{-3-1}[/tex] = [tex]\frac{-8}{-4}[/tex] = 2, thus
y = 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation.
Using (1, 7), then
7 = 2 + c ⇒ c = 7 - 2 = 5
y = 2x + 5 ← equation of line
