Answer :

Answer:

slope of parallel line is m = 2

Step-by-step explanation:

Calculate the slope m , of the line through the 2 points.

calculate the slope m, using the slope formula

• m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

let (x₁, y₁ ) = (- 3, 0 ) and (x₂, y₂ ) = (- 2, 2 )

substitute these values into the formula for m

m = [tex]\frac{2-0}{-2-(-3)}[/tex] = [tex]\frac{2}{-2+3}[/tex] = [tex]\frac{2}{1}[/tex] = 2

Parallel lines have equal slopes

Then the slope of a line parallel to CD is m = 2