Algebra how to solve slope

Introduction :

In algebra slope is nothing but the proportion of the rate of change iny value to the rate of change in x value. Here we are going to know about how to solve a slope in algebra. To find the slope we have to use the formula. If the line passes through any two points we have to use the following formula in algebra.

  Where slope of the line m = `(y_2 - y_1) / (x_2 - x_1)`


Example problems for how to solve slope in algebra:


   We will see some example problems for how to solve a slope in algebra.


Example 1 for how to solve slope:

   Solve the slope between the given points. The line passes through the following points. (0, 8) and (9, 0)

Solution:

  Slope of the line m = `(y_2 - y_1) / (x_2 - x_1)`

  Here (x1, y1) = (0, 8) and (x2, y2) = (9, 0)

  So the slope between the line = `(0 - 8) / (9 - 0)`

  Slope of line = `(-8) / 9`


Example 2 for how to solve slope:

  Solve the slope between the given points. The line passes through the following points. (2, 3) and (5, 6)

Solution:

  Slope of the line m = `(y_2 - y_1) / (x_2 - x_1)`

  Here (x1, y1) = (2, 3) and (x2, y2) = (5, 6)

  So the slope between the line = `(6 - 3) / (5 - 2)`

                                                      = ` 3 / 3`

                                                            = 1  

  Slope m = 1.


Practice problems for how to solve slope in algebra:


  Here we will see some of the practice problems for how to solve a slope of the line in algebra.

Practice problem 1:

  Solve the slope between the following points (1, 2) and (5, 9)

Answer: `7 / 4`


Practice problem 2:

  Solve the slope between the following points (8, 6) and (6, 12)

Answer: -3

 From this we can understand how to solve slope in algebra. If the line is parallel to y - axis then the slope is undefined and the line is parallel to x – axis then the slope is 0.