# Slope Point Formula

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Slope is defined as raise over run. Slope is very useful for finding the equation of the straight line. Slope can be calculated given two points on the straight line. If (x1, y1) and (x2, y2) are the two points passing through the straight line, the slope point form of the straight line is given by (y - y1) = m(x - x1). Here m is the slope of the straight line.

Example 1: Find the slope point form of the straight line passing through the points (1, 1) and (2, 3).

Solution: Given are two points on the straight line (1, 1) and (2, 3).

The slope of the line = 3 -1/2- 1 = 2/1 = 2.

The slope point form of the straight line is given by (y - y1) = m(x - x1).

Here the point (x1, y1) = (1, 1). The line is (y - 1) = 2(x - 1); 2x –y = 1.

The equation of the straight line is 2x –y = 1.

Example 2: Find the slope point form of the straight line passing through the points (0, 5) and (3, 8).

Solution: Given are two points on the straight line (0, 5) and (3, 8).

The slope of the line = 8-5/3-0 = 3/3 = 1.

The slope point form of the straight line is given by (y - y1) = m(x - x1).

Here the point (x1, y1) = (0, 5). The line is (y - 5) = 1(x - 0); x –y = -5.

The equation of the straight line is x –y = -5.