The slope m of a line that passes through two given points (x₁,y₁) and (x₂,y₂) is given by the formula:
[tex]m=\frac{y_2-y_1_{}}{x_2-x_1}[/tex]
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:
[tex]\begin{gathered} m=\frac{0-(-1)}{10-(-9)} \\ =\frac{0+1}{10+9} \\ =\frac{1}{19} \\ =0.05263157895\ldots \end{gathered}[/tex]
Rounded to 3 decimal values, the slope of the line that passes through the points (-9,-1) and (10,0) is 0.053
