Question

what is the slope of this line? (-5, -1) (-5, -3) $\frac{2}{5}$ $-\frac{2}{5}$ 0 undefined

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.

Step2: Identify two points

The two - points on the line are $(-5,-1)$ and $(-5,-3)$. Let $(x_1,y_1)=(-5,-1)$ and $(x_2,y_2)=(-5,-3)$.

Step3: Substitute into formula

$m=\frac{-3-(-1)}{-5 - (-5)}=\frac{-3 + 1}{-5+5}=\frac{-2}{0}$.

Step4: Determine slope value

Since division by zero is undefined, the slope of a vertical line is undefined.

Answer:

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