Question

What is the slope of the line on the graph?A. 1/3B. 3C. 1D. -1/3

Answer 1

Explanation

We are given two coordinates (0,0) and (3,1)

We can determine the slope of a line with the formula below:

$\begin{gathered} Slope\text{ = }\frac{\Delta y}{\Delta x} \\ where \\ \Delta y=y_2-y_1 \\ \Delta x=x_2-x_1 \end{gathered}$

From the coordinates, we can deduce that:

$\begin{gathered} x_1=0 \\ y_1=0 \\ x_2=3 \\ y_2=1 \end{gathered}$

Now, we can determine the slope as:

$\begin{gathered} \Delta y=1-0=1 \\ \Delta x=3-0=3 \\ Slope=\frac{\Delta y}{\Delta x}=\frac{1}{3} \end{gathered}$

Hence, the answer is option A which is 1/3.