Question

Graph each line with the given point and slope.

$\left(2,5\right);m=-\frac{1}{3}$.

Short answer

The graph of the line is

Step-by-step solution

Step 1. Given information

The line passes through the point$\left(2,5\right)$with slope$m=-\frac{1}{3}$.

Step 2. Graph of the line.

To draw the line, first plot the point $\left(2,5\right)$.

Since the slope is $m=-\frac{1}{3}$, therefore for each increase in value of x by 3 units, y is decreased by 1 unit.

So another point on the given line is,

$\left(2+3,5-1\right)=\left(5,4\right)$

Now the graph of the line is,