Answer :
Answer:
y = - [tex]\frac{1}{3}[/tex] x - 5
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 ) = (-5,1) and (x₂, y₂ ) = (7, - 3)
m = [tex]\frac{-3-1}{7+5}[/tex] = [tex]\frac{-4}{12}[/tex] = - [tex]\frac{1}{3}[/tex]
• Parallel lines have equal slopes
hence [tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{3}[/tex], thus
y = - [tex]\frac{1}{3}[/tex] x + c ← is the partial equation
T find c substitute (- 3, - 4) into the partial equation
- 4 = 1 + c ⇒ c = - 4 - 1 = - 5
y = - [tex]\frac{1}{3}[/tex] x - 5 ← equation of parallel line