Question

Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.And pick two points on the graph and demonstrate it with the picture.Slope of the Line:

Answer 1

From the present picture, we can determine two easy point to work with: P1, at (0, 1), and P2 at (2, -3).

To determine the "rise" and "run" lines, we draw a horizontal line which represents the difference of the value in X from P1 to P2, and another vertical line which represents the difference of the value in Y from P1 to P2, as follows:

Now, we will use the following formula to determine the slope of the line:

`\begin{gathered} m_{\text{slope}}=\frac{\text{Rise}}{\text{Run}}=(\Delta y)/(\Delta x)=(y_1-y_2)/(x_1-x_2)=(1-(-3))/(0-2)=(4)/(-2)=-2 \\ \\ m_{\text{slope}}=-2 \end{gathered}`

From the solution developed above, we are able to determine the slope of the line as -2.