Question

I need help finding the slop of the line in simplest form

Answer 1

The Solution:

The question requires that we draw a line representing a Rise and another line representing a Run, and thereafter find the slope of the line in its simplest form.

From the given graph in the question, we have the rise and run as below:

To find the slope of the line in its simplest form, we shall use the formula below:

$\text{ Slope =}\frac{y_2-y_1}{x_2-x_1}$

We shall pick the coordinates of two points in the line as below:

$(1,-2)\text{ and (7,0)}$

In this case,

$\begin{gathered} x_1=1 \\ y_1=-2 \\ x_2=7 \\ y_2=0 \end{gathered}$

Substituting these values in the formula above, we get

$\text{ Slope = }\frac{0-(-2)}{7-1}=\frac{0+2}{6}=\frac{2}{6}=\frac{1}{3}$

Therefore, the slope of the line is 1/3