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how to graph $3x-2y>8$

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Solve two-step linear inequalities

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Q. how to graph

3x-2y>8

Rewrite Inequality: First, let's rewrite the inequality in slope-intercept form, which is $y = mx + b$ . We'll start by moving the $3x$ to the other side. $\newline$ $3x - 2y > 8$ $\newline$ $-2y > -3x + 8$
Divide by $-2$ : Now, divide everything by $-2$ to solve for $y$ . Remember that when you divide by a negative number, the inequality sign flips. $\newline$ $y < \left(\frac{3}{2}\right)x - 4$

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