what is the slope of the line that passes through the points (-2, 2) and (-4, -1)? write your answer in…

Explanation:

Step1: Recall slope formula

The slope ( m ) between two points ( (x_1, y_1) ) and ( (x_2, y_2) ) is ( m=\frac{y_2 - y_1}{x_2 - x_1} ). Let ( (x_1, y_1)=(-2, 2) ) and ( (x_2, y_2)=(-4, -1) ).

Step2: Substitute values into formula

Substitute ( x_1=-2 ), ( y_1 = 2 ), ( x_2=-4 ), ( y_2=-1 ) into the formula: ( m=\frac{-1 - 2}{-4 - (-2)} )

Step3: Simplify numerator and denominator

Simplify numerator: ( -1 - 2=-3 ) Simplify denominator: ( -4 - (-2)=-4 + 2=-2 ) So ( m=\frac{-3}{-2}=\frac{3}{2} )

Answer:

(\frac{3}{2})