So let's look at first what slope-intercept form is. Slope intercept form is actually y equals mx plus b. The reason why it is called slope intercept form is because it gives a slope and an intercept.

Any equation that can be rearranged into the form \(y = mx + c\), will have a straight line graph. \(m\) is the gradient, or steepness of the graph, and \(c\) is the \(y\)-intercept, or where the line ...

The graphs of \(y = 2x + 1\) and \(y = 2x - 2\) are shown below. The graph of \(y = 2x + 1\) crosses the \(y\)-axis at (0, 1). The graph of \(y = 2x - 2\) crosses the ...

A straight line drawn on a grid can be described by a rule connecting the x and y coordinates of every point on the line. This is known as the equation of the line. The equation of any straight line ...

In order to work with gradients and straight lines successfully, a good understanding of coordinates and linear graphs is needed. The gradient of a line is calculated by dividing the difference in the ...

To help draw a straight line graph from its equation, fill in a table of 𝑥 and 𝑦 values. Plot the pairs of values as coordinates and join to make a line. Make sure you are confident with ...

Graphs are often used in everyday life to give information about how two quantities are related. The gradient and intercept of the graph can be interpreted from the graphs. Before reading this guide, ...

The graphs above, \(y = 2x + 1\) and \(y = 2x - 2\) have the same gradient of 2. The lines are parallel. State the equation of a line that is parallel to \(y = 3x + 7\). To be parallel, two lines must ...