Final answer:
The inequality 3y - 2x > -4 translates to y > (2/3)x - 4/3 after simplifying to slope-intercept form, which indicates a line with a slope of 2/3 and a y-intercept at -4/3. None of the choices (a, b, c, d) match this inequality.
Step-by-step explanation:
First, we must rearrange the provided inequality 3y - 2x > -4 into the slope-intercept form, which is y = mx + b. The slope-intercept form makes it easier to compare to the answer choices. We can rearrange the inequality by adding 2x to both sides and then dividing everything by 3 to solve for y:
This shows a line with a slope of 2/3, and a y-intercept at -4/3. The '>' sign indicates that the inequality represents all points above the line. Considering the form and the direction of the inequality, none of the given choices (a, b, c, d) match the rearranged inequality. Therefore, there must be an error in the question or the answer choices given, as they do not correlate with the graph of the inequality represented by 3y - 2x > -4.