1. The problem asks to identify the graph of a line with a rate of change (slope) of 2 and a y-intercept of 3. 2. The equation of a line in slope-intercept form is $$y = mx + b$$ where $m$ is the slope and $b$ is the y-intercept. 3. Here, $m = 2$ and $b = 3$, so the line equation is $$y = 2x + 3$$. 4. This means the line crosses the y-axis at 3 and for every 1 unit increase in $x$, $y$ increases by 2 units. 5. Among the options, the correct graph must show a line crossing the y-axis at 3 and rising 2 units for every 1 unit to the right. 6. Options B and D describe lines crossing the y-axis at 3 and rising 2 for every 1 to the right. 7. Since both B and D match the slope and intercept, the problem likely expects the best match; both are correct descriptions, but the position hint suggests B is centered and D is bottom-right. Final answer: The graph described by option B or D shows the line with slope 2 and y-intercept 3. For clarity, we select option B as it is centered and clearly shows the line with the correct slope and intercept.