Answer:
y = - [tex]\frac{4}{5}[/tex] 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 ) = (0, 12) and (x₂, y₂ ) = (10, 4)
m = [tex]\frac{4-12}{10-0}[/tex] = [tex]\frac{-8}{10}[/tex] = - [tex]\frac{4}{5}[/tex] ← slope of line L
Parallel lines have equal slopes , then
y = - [tex]\frac{4}{5}[/tex] x + c ← is the partial equation
To find c substitute (5, - 11) into the partial equation
- 11 = - 4 + c ⇒ c = - 11 + 4 = - 7
y = - [tex]\frac{4}{5}[/tex] x - 7 ← equation of parallel line
