Question

Given the points (-9, -1) and (10, 0) find the slope. Round to at least 3 decimal values if needed.

Answer 1

The slope m of a line that passes through two given points (x₁,y₁) and (x₂,y₂) is given by the formula:

`m=\frac{y_2-y_1_{}}{x_2-x_1}`

To find the slope of the line that passes through the points (-9,-1) and (10,0), substitute x₁=-9, y₁=-1, x₂=10 and y₂=0:

`\begin{gathered} m=(0-(-1))/(10-(-9)) \\ =(0+1)/(10+9) \\ =(1)/(19) \\ =0.05263157895\ldots \end{gathered}`

Rounded to 3 decimal values, the slope of the line that passes through the points (-9,-1) and (10,0) is 0.053