Question

#6: Find the slope of the line shown below."1 pointy9-8-6-54-32-16H --9-8 -7-6-5-43-212345 67892-3-4-5-6.Type here to searchO8:25 PMAO

Answer 1

Step 1

State an expression for the slope

`(y_2-y_1)/(x_2-x_1)`

Step 2

Draw the triangle required to find the slope

From the diagram

`\begin{gathered} y_2=6 \\ y_1=\text{ 0} \\ x_2=7 \\ x_1=-2 \end{gathered}`

Step 3

Find the slope

`\begin{gathered} \text{slope = }(6-0)/(7-(-2)) \\ =(6)/(7+2) \\ =(6)/(9) \end{gathered}`

Therefore, the slope of the line shown is 6/9