Equations and their graphs
I can recognise the determining features of the shape of the graph from its equation.
Equations and their graphs
I can recognise the determining features of the shape of the graph from its equation.
Lesson details
Key learning points
- The gradient of the line is determined by m when the equation is in the form y = mx + c
- The y-intercept is determined by c when the equation is in the form y = mx + c
- You can sketch what the graph will look like from studying its equation
Common misconception
Estimation and approximation are only required skills when working solely with number problems.
In problem solving it can be really useful to sketch an approximation of a certain graph such as a linear equation. Seeing where the $$y$$-intercept is and drawing an approximate gradient could help us identify solutions.
Keywords
Gradient - The gradient is a measure of how steep a line is.
Intercept - An intercept is the coordinate where a line or curve meets a given axis.
Linear - The relationship between two variables is linear if, when plotted on a pair of axes, a straight line is formed.
Licence
This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).
Video
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Starter quiz
6 Questions
Exit quiz
6 Questions
$$y=5x-7$$ -
$$y=5x+18$$
$$y=3-2x$$ -
$$y=-2x+7$$
$$y=-4+2x$$ -
$$y=2x-7$$
$$y=7x-10$$ -
$$y=7x$$
$$y=7-x$$ -
$$y=-2-x$$
