Answer:
y = 2x + 17
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 )
To calculate m use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 7, 3) and (x₂, y₂ ) = (- 10, - 3)
m = [tex]\frac{-3-3}{-10+7}[/tex] = [tex]\frac{-6}{-3}[/tex] = 2
y = 2x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (- 7, 3 ), then
3 = - 14 + c ⇒ c = 3 + 14 = 17
y = 2x + 17 ← equation of line
