Gradients of straight-line graphs
A gradient of a line in a graph is the measure of the steepness of the line. This can be positive, negative or zero if it is flat. For example:
The gradient of a graph can be worked out using the following formula:
Therefore the following coordinate pairs are inserted into the formula as follows:
(x1, y1) and (x2, y2)
The general equation of a straight line
The equation of a straight line is y = mx + c
m = the gradient
c = where the line crosses the y-axis
Rearranging equations into the form y = mx + c
In scenarios where the equation of a straight line graph is not given in the form y = mx + c, then the equation should be re-arranged to be converted to this form.
Once it is converted to the y = mx + c form, the gradient and the y intercept can be determined.