Answer:
y = - x - 7
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 ) = (5, - 12 ) and (x₂, y₂ ) = (- 3, - 4 )
m = [tex]\frac{-4-(-12)}{-3-5}[/tex] = [tex]\frac{-4+12}{-8}[/tex] = [tex]\frac{8}{-8}[/tex] = - 1 , then
y = - x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (5, - 12 ) , then
- 12 = - 5 + c ⇒ c = - 12 + 5 = - 7
y = - x - 7 ← equation of line
