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Graph the solutions to the inequality $7x-3y \geq 21$

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Does (x, y) satisfy the inequality?

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Q. Graph the solutions to the inequality

7x-3y \geq 21

Rewrite Inequality: First, let's rewrite the inequality in slope-intercept form $y = mx + b$ . We'll start by isolating $y$ on one side. So, we add $3y$ to both sides and subtract $21$ from both sides to get $3y \leq 7x - 21$ .
Isolate $y$ : Next, divide everything by $3$ to solve for $y$ . This gives us $y \leq \frac{7}{3}x - 7$ .
Graph Line: Now we can graph the line $y = \frac{7}{3}x - 7$ . This line will be solid because the inequality includes equal to ( $\geq$ ).
Shade Below Line: After drawing the line, we need to figure out which side of the line to shade. Since the inequality is $y \leq \frac{7}{3}x - 7$ , we shade below the line.
Correct Mistake: Oops, I made a mistake in the second step. I should have divided $21$ by $3$ as well. The correct equation should be $y \leq \left(\frac{7}{3}\right)x - 7$ , not $y \leq \left(\frac{7}{3}\right)x - 21$ . Gotta fix that.

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