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