Question

what is the slope of the line through $(-10, 1)$ and $(0, -4)$? choose 1 answer: a $-2$ b $-dfrac{1}{2}$ c $2$ d $dfrac{1}{2}$

Explanation:

Step1: Recall slope formula

The slope $m$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2-y_1}{x_2-x_1}$

Step2: Assign values to variables

Let $(x_1,y_1)=(-10,1)$ and $(x_2,y_2)=(0,-4)$. Substitute into the formula:
$m=\frac{-4-1}{0-(-10)}$

Step3: Simplify the expression

Calculate numerator: $-4-1=-5$
Calculate denominator: $0-(-10)=10$
$m=\frac{-5}{10}=-\frac{1}{2}$

Answer:

B. $-\frac{1}{2}$