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Year 10 Interactive Maths - Second Edition


Vertical Lines

A vertical line is parallel to the y-axis, as shown in the following diagram.

The graph shows a vertical line that is parallel to the y-axis.

Using the two points (k, y1) and (k, y2) on the vertical line to calculate the gradient, m, we find the gradient is undefined.

So, the gradient of the vertical line is undefined and its equation is given by x = k where k is the x-intercept.

Note:

The value of the x-coordinate on a vertical line is always equal to k, the x-intercept.


Example 16

Sketch the graph of x = 8.

Solution:

The graph shows the vertical line of x = 8 that is parallel to the y-axis and cuts the x-axis at x = 8.


Key Terms

vertical line

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