Answer:
y = [tex]\frac{4}{5}[/tex] x - 3
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 ) = (- 5, - 7) and (x₂, y₂ ) = (5, 1)
m = [tex]\frac{1+7}{5+5}[/tex] = [tex]\frac{8}{10}[/tex] = [tex]\frac{4}{5}[/tex], thus
y = [tex]\frac{4}{5}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (5, 1), then
1 = 4 + c ⇒ c = 1 - 4 = - 3
y = [tex]\frac{4}{5}[/tex] x - 3 ← equation of line
