# Different forms of linear equations

We’ve seen linear equations before, where all of the pronumerals in the equation are raised to the power 1:

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The *general* form of a linear equation is this:

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‘a’, ‘b’ and ‘c’ are just numbers, ‘x’ and ‘y’ are the two variables or pronumerals. So the general form of the equation before would be:

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Now for working out problems, and also for plotting graphs,
it’s usually easiest to have a linear equation in the *gradient-intercept*
form, like this:

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Our equation was already listed in the gradient-intercept form at the beginning of this section:

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In general, to get a linear equation into the gradient-intercept form, you need to get ‘y’ (or whatever the equivalent variable or pronumeral is) by itself on the left hand side of the equation, with a coefficient of ‘+1’. This is how I would get this following equation into gradient-intercept form:

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