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A line intersects the points (2,2) and (-1, 20).What is the slope of the line in simplest form?m = _

A line intersects the points (2,2) and (-1, 20).What is the slope of the line in simplest-example-1
User Andriys
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Given: The points a line intersects as shown below


\begin{gathered} Point1:(2,2) \\ Point2:(-1,20) \end{gathered}

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


\begin{gathered} Point1:(x_1,y_1) \\ Point2:(x_2,y_2) \\ slope=(y_2-y_1)/(x_2-x_1) \end{gathered}

Let us apply the formula to the given points


\begin{gathered} Points1(x_1,y_1)=(2,2) \\ Point2(x_2,y_2)=(-1,20) \\ slope=(20-2)/(-1-2) \\ slope=(18)/(-3) \\ slope=-6 \end{gathered}

Hence, the slope of the line in simplest form is -6

User Indiesquidge
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