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

Explanation:

Step1: Rewrite the equation in slope - intercept form

First, expand the right - hand side: $y + 3=2x+6$. Then, solve for $y$: $y=2x + 3$.

Step2: Identify the slope and y - intercept

The slope $m = 2$ and the y - intercept $b = 3$. The y - intercept is the point where the line crosses the y - axis, which is $(0,3)$. Also, using the slope, for every 1 unit increase in $x$, $y$ increases by 2 units.

Step3: Check the given graph

The graph with a line that crosses the y - axis at $(0,3)$ and has a positive slope (rises from left to right with a slope of 2) is the correct one. The given graph with points $(0,3)$ and $(-3,-3)$ satisfies the equation. When $x=-3$, $y=2\times(-3)+3=-6 + 3=-3$.

Answer:

The provided graph (with points $(0,3)$ and $(-3,-3)$) matches the equation $y + 3=2(x + 3)$.