Question

QUESTION Bgraph the line with the given slope and point 2 stepsthere are two steps with in 1 question

Answer 1

By definition, the slope of a line is:

$m=\frac{y_2-y_1}{x_2-x_1_{}}$

You can observe that it is the change in "y" divided by the change in "x".

In this case, you have the following slope:

$m=\frac{2}{3}$

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

$m=\frac{2}{3}$

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: