what is the slope of the line that passes through the points $(-4,2)$ and $(-5,0)$? write your answer in…

Explanation:

Step1: Recall the slope formula

The slope formula is (m=\frac{y_2 - y_1}{x_2 - x_1}), where ((x_1,y_1)) and ((x_2,y_2)) are two points on the line. Let ((x_1,y_1)=(-4,2)) and ((x_2,y_2)=(-5,0)).

Step2: Substitute the values into the formula

Substitute (x_1=-4,y_1 = 2,x_2=-5,y_2=0) into (m=\frac{y_2 - y_1}{x_2 - x_1}). We get (m=\frac{0 - 2}{-5-(-4)}).

Step3: Simplify the expression

First, simplify the numerator: (0 - 2=-2). Then simplify the denominator: (-5-(-4)=-5 + 4=-1). So (m=\frac{-2}{-1}=2).

Answer:

(2)