Question

what is the slope of the line that passes through the points (0, - 10) and (-4, - 11)? write your answer in simplest form.

Explanation:

Step1: Recall 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 $(x_1,y_1)=(0, - 10)$ and $(x_2,y_2)=(-4,-11)$.

Step2: Substitute values

Substitute the values into the formula: $m=\frac{-11-(-10)}{-4 - 0}$.

Step3: Simplify the numerator and denominator

First, simplify the numerator: $-11-(-10)=-11 + 10=-1$. The denominator is $-4-0=-4$. So $m=\frac{-1}{-4}=\frac{1}{4}$.

Answer:

$\frac{1}{4}$