Question

draw a line representing the "rise" and a line reoresenting the "run" of the line. state thevslope of the line in simplest form

Answer 1

We shall begin by graphing the line here in the equation editor.

The rise of the line is the represented by the BLUE line (vertical).

The run of the line is represented by the RED line.

To calculate the slope of the line, we apply the rate of change of both variables. The rate of change of the y axis is represented by the rise while the rate of change of the x axis is represented by the run.

The slope of the line is given as follows

`\begin{gathered} m=\frac{\text{change in y}}{change\text{ in x}} \\ m=(-3)/(3) \\ m=-1 \end{gathered}`

The slope is negative 1, that is -1.

This was derived from the "rise" over "run" technique. The rise moved 3 units down (-3) while the run moved 3 units to the right (+3).

We can still apply the conventional formula which is

`m=(y_2-y_1)/(x_2-x_1)`

and the answer would still be the same