which graph matches the equation ( y + 3 = 2(x + 3) )?

Explanation:

Step1: Recall the 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. For the equation (y+3 = 2(x + 3)), we can rewrite it as (y-(-3)=2(x-(-3))). So, the line has a slope (m = 2) and passes through the point ((-3,-3)).

Step2: Check the point on the graph

We check if the point ((-3,-3)) lies on the given graph.

Answer:

The graph that has a line with slope (2) and passes through the point ((-3,-3)) is the correct one. (Since the description of the graph in the problem shows the point ((-3,-3)) on the line, assuming that is the only graph provided that satisfies the point - slope form condition)