Graph the inequality.
\[
4 x \geq-3 y
\]
Answer
\(\boxed{\text{The graph of the inequality } 4x \geq -3y \text{ is a line with a slope of } -\frac{4}{3} \text{ and y-intercept of 0. The area above the line (including the line itself) is shaded to represent the solution to the inequality.}}\)
Step 1 ：First, we rearrange the inequality into the form y = mx + b, where m is the slope and b is the y-intercept. In this case, the inequality becomes \(-3y \leq 4x\) or equivalently \(y \geq -\frac{4}{3}x\).
Step 2 ：Next, we plot the line y = -\(\frac{4}{3}\)x. This line has a slope of -\(\frac{4}{3}\) and y-intercept of 0.
Step 3 ：Since the inequality is greater than or equal to, we shade the area above the line, including the line itself, to represent the solution to the inequality.
Step 4 ：\(\boxed{\text{The graph of the inequality } 4x \geq -3y \text{ is a line with a slope of } -\frac{4}{3} \text{ and y-intercept of 0. The area above the line (including the line itself) is shaded to represent the solution to the inequality.}}\)
