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Points: (x, y) and (x, y) Slope: y1-y2/x1-x2
Point Slope Formula: y-y1 = m(x - x1)
slope = (delta y) / (delta x). That's shorthand for: slope = (difference in the y-coordinates) / (difference in the x-coordinates). For two given points with coordinates (x1, y1) and (x2, y2), the slope is (y1 - y2) / (x1 - x2).
Point-slope form is written as: y-y1=m(x-x1), where (x1, y1) is a point on the line and m is the slope (hence the name, point-slope form).
First substitute the coordinates of (x1, y1) into the equation, then simplify the equation so it has y in terms of x. y - y1 = m(x - x1) y - y1 = mx - mx1 y = mx - mx1 + y1 y = mx + (y1 - mx1) y = mx + (C)