  # Straight Lines, Gradients and Linear Equations: y = mx + c

In this worksheet, students state the gradient of a straight line given its equation (y = mx + c). Key stage:  KS 3

Curriculum topic:   Algebra

Curriculum subtopic:   Use Linear Equations (Two Variables) and Gradients

Difficulty level:   #### Worksheet Overview

The gradient of a line can easily be stated by looking carefully at its equation.

For the line with equation y = mx + c, the gradient is m.

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

Example

State the gradient of the line with equation y = 2x + 1

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

The gradient of the line, m, is 2.

Check

The line is shown below.

y = 2x + 1 Note

The equation y = 2x + 1 can be rewritten in several ways as shown below.

They all represent the SAME line.

y = 1 + 2x

y - 1 = 2x

x = ½ (y - 1)

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