Question

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

Answer 1

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