Answer:
y = - [tex]\frac{2}{5}[/tex] x - 11
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 ) = (- 10, - 7) and (x₂, y₂ ) = (- 5, - 9)
m = [tex]\frac{-9+7}{-5+10}[/tex] = - [tex]\frac{2}{5}[/tex], hence
y = - [tex]\frac{2}{5}[/tex] x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (- 5, - 9 ), then
- 9 = 2 + c ⇒ c = - 9 - 2 = - 11
y = - [tex]\frac{2}{5}[/tex] x - 11 ← in slope-intercept form
