Write the point slope form of the equation of the line using the point (-4,-2)

Step-by-step explanation:

1) First, find the slope of the line. Take two points the line intersects and use them for the slope formula, . We already know the line intersects (-4, -2). Just choose any one of the points you can see the line intersecting (in this case, I chose (0,3)) and plug in its values, too. Then solve:

So, the slope is .

2) Now that you have the slope, plug in values for the point-slope formula, . In order to write a linear equation with it, the , , and have to be substituted for with real values. The represents the slope - which means that we should place there. The and represent the x and y values of a point - and the questions wants us to use (-4, -2), so substitute -4 for and -2 for :

Thus, the answer is .