Given: The points a line intersects as shown below
[tex]\begin{gathered} Point1:(2,2) \\ Point2:(-1,20) \end{gathered}[/tex]
To Determine: The slope of the line in its simplest form
Solution
The formula for finding the slope of two points is as shown below
[tex]\begin{gathered} Point1:(x_1,y_1) \\ Point2:(x_2,y_2) \\ slope=\frac{y_2-y_1}{x_2-x_1} \end{gathered}[/tex]
Let us apply the formula to the given points
[tex]\begin{gathered} Points1(x_1,y_1)=(2,2) \\ Point2(x_2,y_2)=(-1,20) \\ slope=\frac{20-2}{-1-2} \\ slope=\frac{18}{-3} \\ slope=-6 \end{gathered}[/tex]
Hence, the slope of the line in simplest form is -6
