Question

what is the slope of this line? (-7, -4) (-7, -5)

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 $(-7,-4)$ and $(-7,-5)$. Let $(x_1,y_1)=(-7,-4)$ and $(x_2,y_2)=(-7,-5)$.

Step3: Substitute into formula

$m=\frac{-5-(-4)}{-7 - (-7)}=\frac{-5 + 4}{-7+7}=\frac{-1}{0}$.

Step4: Determine slope value

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

Answer:

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