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

Explanation:

Step1: Rewrite the equation in slope - intercept form

Start with $y + 3=2(x + 3)$. Distribute the 2 on the right - hand side: $y+3 = 2x+6$. Then subtract 3 from both sides to get $y=2x + 3$.

Step2: Find the y - intercept

In the slope - intercept form $y=mx + b$ (where $m$ is the slope and $b$ is the y - intercept), for the equation $y = 2x+3$, the y - intercept $b = 3$. This means the line crosses the y - axis at the point $(0,3)$.

Step3: Check the point - slope form for another point

The original equation $y + 3=2(x + 3)$ is in point - slope form $y - y_1=m(x - x_1)$. Here, the point $(x_1,y_1)=(-3,-3)$ and slope $m = 2$.

Answer:

The graph that has a y - intercept of $(0,3)$ and passes through the point $(-3,-3)$ is the correct one. So the first graph (the one with points $(0,3)$ and $(-3,-3)$) matches the equation.