Answer:
y = 2x - 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 = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, - 10) and (x₂, y₂ ) = (5, 2)
m = [tex]\frac{2-(-10)}{5-(-1)}[/tex] = [tex]\frac{2+10}{5+1}[/tex] = [tex]\frac{12}{6}[/tex] = 2 , then
y = 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (5, 2 ) , then
2 = 10 + c ⇒ c = 2 - 10 = - 8
y = 2x - 8 ← equation of line
