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Find the slope of the line passing through the points $(-4,5)$ and $(-4,-2)$

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Evaluate integers raised to positive rational exponents

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Q. Find the slope of the line passing through the points

(-4,5)

and

(-4,-2)

Identify Coordinates: Identify the coordinates of the two points. $\newline$ The first point is $(-4, 5)$ , which means $x_1 = -4$ and $y_1 = 5$ . $\newline$ The second point is $(-4, -2)$ , which means $x_2 = -4$ and $y_2 = -2$ .
Use Slope Formula: Use the slope formula. $\newline$ The slope $m$ of a line passing through two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by $m = \frac{y_2 - y_1}{x_2 - x_1}$ .
Substitute Coordinates: Substitute the coordinates into the slope formula. $m = \frac{-2 - 5}{-4 - (-4)}$
Perform Calculations: Perform the calculations. $\newline$ $m = \frac{-7}{0}$
Recognize Undefined Slope: Recognize that division by zero is undefined. Since the denominator is $0$ , the slope is undefined. This means the line is vertical.

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