Verified 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 = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

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

substitute these values into the formula for m

m = \(\frac{2-0}{-2-(-3)}\) = \(\frac{2}{-2+3}\) = \(\frac{2}{1}\) = 2

• Parallel lines have equal slopes

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