# Plotting Straight Line Graphs using Gradient Method Tutorial

math tutorials > plotting straight line graphs using gradient method

## What is the gradient of a straight line graph?

The **gradient **of a line (symbol *m*) gives us
information about the steepness of a line and the direction in which
it slopes.

## Example

In y = ½ x + 1, the gradient is ½.

The gradient between 2 points

** **

## Note:

- Vertically, a step up is positive, a step down is negative. Horizontally,
a step to the right is positive, to the left is negative.

- A
**horizontal line**has a gradient of**0**. - A
**vertical line**is infinitely steep. The gradient is**undefined**.

## Drawing a graph form the equation y = mx + c.

- Identify the gradient (m).
- Identify and plot the y-intercept (c).
- Draw a line form the y-intercept with the correct gradient.

## Graph problems for you to try

You may need to rearrange the equation into the form y = mx + c.

- y = x + 2
- y = -2x + 3
- y = ½x - 4
- x = y = 6
- 2x + 5y = 10