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 ...
Any straight line graph has a constant gradient, which is calculated by the change in 𝑦 divided by the change in 𝑥, along any section of the graph. The gradient is measuring the steepness of the ...
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 ...
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 ...
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