Question

4. How do you find the slope between two points? Give an example with your explanation

Answer 1

calculatedThe slope between any two points can be calculated by dividing the change in y by the respective change in x value.

`\text{slope = }\frac{\text{change in y}}{\text{change in x}}`
`\begin{gathered} \text{Suppose the two points are given to be points (x}_1,y_1)and(x_2,y_2) \\ \text{Then the slope will be }(y_2-y_1)/(x_2-x_1) \end{gathered}`

Example

To calculate the slope of the line joining the points (1,2) and (3,4):

`\begin{gathered} x_1=1,y_1=2 \\ x_2=3,y_2=4 \\ \text{Slope = }(4-2)/(3-1) \\ \text{slope = }(2)/(2) \\ \text{slope = 1} \end{gathered}`