By definition, the slope of a line is:
[tex]m=\frac{y_2-y_1}{x_2-x_1_{}}[/tex]
You can observe that it is the change in "y" divided by the change in "x".
In this case, you have the following slope:
[tex]m=\frac{2}{3}[/tex]
Then the change in "y" in 2 and the change is "x" is 3.
Given the point (-4,1), you can follow these steps to graph the line:
1. Plot the given point on the coordinate plane.
2. Knowing that the slope is
[tex]m=\frac{2}{3}[/tex]
You must move 3 units to the right and then 2 units up. This will give you a new point.
3. Graph the line. It must pass through those points.
The graph is:
