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Slope intercept form is y = mx + b. Point slope form is y - y1 = m(x - x1).
Here is an example of changing slope-intercept form to point-slope form: Change y = 3x + 2 to point slope form:
y = 3x + 2
Subtract 2 from each side:
y -2 = 3x
The equation y-2 = 3x is in point-slope form. It can be rewritten as
y-2 = 3(x-0), showing that the line passes through the point (0,2), but is doesn't need to be.
(The x1 and y1 represent one point on the line, it doesn't matter which one. Therefore, there are many different equations for the same line in point-slope form. For example, the equation y -2 = 3x is the same line as the equation y - 11 = 3(x - 3), which is the same line as the equation y + 4 = 3(x + 2).)
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