Slope Formula

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Slope is defined as rise over run. Slope is found by the change of y axis co-ordinates over the change in x axis co-ordinates. Slope of a straight line gives the orientation of the line with respect to the co-ordinate axes. The slope of the line is used in different formula’s such as slope intercept form, slope point form etc. which help in writing the equation of the straight lines.

Slope formula = change in y co–ordinates / change in the x co–ordinates.
 
Example 1: Find the slope of the straight line passing through the two points (11, 15) and (2, 14)?

Solution: Given are the two points (11, 15) and (2, 14) from a straight line.

Slope = change in y co–ordinates / change in the x co–ordinates.

Here for the given two points slope = (14 – (15)) / (2 – (11)).

Slope = -1 / -9 Simplifying slope = 1/9.

Hence slope of the straight line passing through the given points = 1/9.

 Example 2: Find the slope of the straight line passing through the two points (0, 0) and (2, 3)?

Solution: Given are the two points (0, 0) and (2, 3) from a straight line.

Slope = change in y co–ordinates / change in the x co–ordinates.

Here for the given two points slope = (3 – (0)) / (2 – (0)).

Slope = 3 - 0 / 2 - 0. Simplifying slope = 3/2.

Hence slope of the straight line passing through the given points = 3/2.

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