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How do you convert 2 coordinate points into slope intercept form y equals mx plus b?
Wiki User
∙ 11y ago
Suppose the points are P = (r,s) and Q = (t,u)
Then gradient of PQ = (u - s)/(t - r) = m, say.
Let Z = (x,y) be any point on the line. Then gradient ZP also = m
that is (y - s)/(x - r) = m
Equating the two expressions for m,
(y - s)/(x - r) = (u - s)/(t - r)
or y - s = (x - r)*(u - s)/(t - r)
y = (x - r)*(u - s)/(t - r) + s = x*m - r*m - s
This is of the form y = mx + b, where m is as defined above and b = -r*m + s
Wiki User
∙ 11y ago
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