Answer:
y = 7x - 48
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 = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (6, - 6) and (x₂, y₂ ) = (8, 8)
m = [tex]\frac{8+6}{8-6}[/tex] = [tex]\frac{14}{2}[/tex] = 7, thus
y = 7x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (8, 8), then
8 = 56 + c ⇒ c = 8 - 56 = - 48
y = 7x - 48 ← equation of line
