Answer:
y = - [tex]\frac{6}{5}[/tex] x - 2
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 ) = (- 5, 4) and (x₂, y₂ ) = (5, - 8)
m = [tex]\frac{-8-4}{5+5}[/tex] = [tex]\frac{-12}{10}[/tex] = - [tex]\frac{6}{5}[/tex]
y = - [tex]\frac{6}{5}[/tex] x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (5, - 8), then
- 8 = - 6 + c ⇒ c = - 8 + 6 = - 2
y = - [tex]\frac{6}{5}[/tex] x - 2 ← is the equation of the line
