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Year 10 Interactive Maths - Second Edition


Horizontal Lines

A horizontal line is parallel to the x-axis, as shown in the following diagram.

A graph with a horizontal line that is parallel to the x-axis.

Using the two points (x1, c) and (x2, c) on the horizontal line to calculate the gradient, m, we find that m = 0.

So, the gradient of the horizontal line is zero and its equation is given by y = c where c is the y-intercept.

Note:

The value of the y-coordinate on a horizontal line is always equal to c, the y-intercept.


Example 15

Sketch the graph of y = 8.

Solution:
The linear graph of y = 8 is a horizontal line parallel to the x-axis that cuts the y-axis at y = 8. 

Key Terms

horizontal line

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