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What you need to know
What you need to know:
Any straight line can be expression by the equation y = mx + c.
In this equation, x and y represent the coordinates – the two axis on the graph – whilst the m represents the gradient, and c represents the y-intercept (where the line meets the y-axis).
You are expected to be able to both draw a straight line given the equation, and determine the equation of a straight line given information about it. For the latter you must firstly determine the gradient (unless you are given the gradient, which is possible), and then from there you can substitute the value of the gradient, along with any coordinates (x, y) which the line passes through, either directly into the equation y = mx + c to find the y-intercept, or into the equation:
y - y_1 = m(x - x_1)
This will directly produce the straight line equation, so all that remains is to rearrange into the form y = mx + c if the question asks you to do so.
y=mx+c Revision and Worksheets
y=mx+c Teaching Resources
From finding equations of straight line graphs to other types of Y=mx+C questions, there are many different types of problems that students have to solve including perpendicular straight lines. If you are an educational professional looking to increase the size of your GCSE Maths resource bank then Maths Made Easy can help. Visit our main GCSE Maths revision page to access hundreds more resources for the new course.
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