what is the slope of the line that passes through the points (4, -2) and (4, 10)? write your answer in…

Explanation:

Step1: Recall slope - formula

The slope formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1 = 4,y_1=-2,x_2 = 4,y_2 = 10$.

Step2: Substitute values

Substitute the values into the formula: $m=\frac{10-(-2)}{4 - 4}=\frac{10 + 2}{0}=\frac{12}{0}$. Since division by zero is undefined, the slope of the line passing through the points $(4,-2)$ and $(4,10)$ is undefined.

Answer:

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