Question

the gradient of a vertical line is.

Explanation:

Step1: Recall gradient formula

The gradient (slope) $m$ of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by $m=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Consider vertical - line points

For a vertical line, $x_1=x_2$. Let the two points be $(x_1,y_1)$ and $(x_1,y_2)$. Then the gradient $m=\frac{y_2 - y_1}{x_1 - x_1}$.

Step3: Analyze the denominator

Since $x_1 - x_1 = 0$, division by zero is undefined.

Answer:

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