Answer :
Answer:
m = - [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
calculate the slope m, using the slope formula
• m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
let (x₁, y₁ ) = (- 6, 1 ) and (x₂, y₂ ) = (0, - 1 )
substitute these values into the formula for m
m = [tex]\frac{-1-1}{0-(-6)}[/tex] = [tex]\frac{-2}{0+6}[/tex] = [tex]\frac{-2}{6}[/tex] = - [tex]\frac{1}{3}[/tex]
• Parallel lines have equal slopes
Thus the slope of every parallel line is m = - [tex]\frac{1}{3}[/tex]
