Slope Definition Math

Online Tutoring Is The Easiest, Most Cost-Effective Way For Students To Get The Help They Need Whenever They Need It.

SIGN UP FOR A FREE TRIAL




Slope is calculated by the change of y axis co-ordinates over the change in x axis co-ordinates. Slope is defined as rise over run. Slope of a straight line gives the orientation of the line with respect to the co-ordinate axes. The slope of a line is the same for all the points on the straight line. 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.

 Example 1: Find the slope of the straight line passing through the two points (2, 3) and (9, - 4)?

Solution: Given are the two points (2, 3) and (9, - 4) from a straight line.

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

Here for the given two points slope = (-4 – (3)) / (9 – (2)) = -4-3/ 9-2.

Slope = -7/ -7 = 7/7. Simplifying slope = 1/1

Hence slope of the straight line passing through the given points = 1.
 
Example 2: Find the slope of the straight line passing through the two points (5, 6) and (8, 7)?

Solution: Given are the two points (5, 6) and (8, 7) from a straight line.

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

Here for the given two points slope = (7 – (6)) / (8 – (5)) = 7 - 6 / 8 – 5 = 1/3.

Hence slope of the straight line passing through the given points = 1/3.
 

HAVE A QUESTION? Chat With Our Tutoring Experts Now