Question

question use the line tool to graph the line passing through (3,1) whose slope is m = 1/3. provide your answer below:

Explanation:

Step1: Recall point - slope form

The point - slope form of a line is $y - y_1=m(x - x_1)$, where $(x_1,y_1)$ is a point on the line and $m$ is the slope. Here $x_1 = 3$, $y_1=1$ and $m=\frac{1}{3}$.

Step2: Plot the given point

First, plot the point $(3,1)$ on the coordinate plane.

Step3: Use the slope to find another point

The slope $m=\frac{1}{3}=\frac{\text{rise}}{\text{run}}$. Starting from the point $(3,1)$, since the rise is 1 and the run is 3, we can find another point. Move 3 units to the right (run) and 1 unit up (rise) from the point $(3,1)$ to get the point $(3 + 3,1+1)=(6,2)$.

Step4: Draw the line

Draw a straight line passing through the points $(3,1)$ and $(6,2)$.

Answer:

Graph a line passing through the points $(3,1)$ and $(6,2)$ on the given coordinate - plane.