Point-slope form is just another way to express a linear equation. It uses two (any two points that fall on the line) and the slope of the line (Therefore the name point-slope form).
y2 - y1 = m(x2 - x1)
...with m as the slope.
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When it is a line through the origin.
Given a point P = (a,b) and slope m, the equation of a line through P with slope m is (y-b) = m(x-a)
Given a point P(a,b) and slope m, the point slope equation is (y - b)/(x - a) = m
Slope 3 and point of (-1, 4)Equation: y-4 = 3(x--1) => y = 3x+7
Slope Intercept form is meant for a line, so if you know the slope m in the equation y=mx+b then with a given point say (3,4) and say the slope of the line was 2 then the equation would read y=2x+4.