Match Equation to Graph Line

The gradient and intercept of any line can be stated by looking carefully at its equation.

For the line with equation y = mx + c, the gradient is m and the intercept on the y-axis is c.

m is the coefficient of x when in the form y = 

c is the number on its own

Example

Draw the line which is represented by y = 2x + 1

Answer

Comparing y = 2x + 1 to y = mx + c, we see that m = 2 and c = 1

Therefore, the gradient of the line (m) is 2 and the intercept (c) is 1.

This means that the line crosses the y-axis at (0, 1) and from this point we move 1 to the right and 2 up to draw the line (or 4 to the right and 8 up).

The line is shown below:

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Remember, you can always refer back to this page for guidance if you need to!