How can you change linear equation in form ax+by=c to y=mx+b form and vice versa

Question

Mathematics

Marley Graham

27 April, 20:22

How can you change linear equation in form ax+by=c to y=mx+b form and vice versa

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Answers (1)

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Hutchinson · Answer 1

You simply have to take the linear equation form (ax + by = c) and solve for y. So you get:

by = c - ax

y = c/b - ax/b

Since c/b will be a constant, you can replace it with any variable (i. e. b), and so that represents the y-intercept and a/b will also be a constant, so that can also be replaced by any variable (i. e. m), and it represents the slope.