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Write the following inequality in slope-intercept form. $\newline$ -3x + 5y > 15 $\newline$ Write your answer with $y$ first, followed by an inequality symbol. Use integers, proper fractions, and improper fractions in simplest form.

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Linear inequalities: solve for y

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Q. Write the following inequality in slope-intercept form.

\newline

-3x + 5y > 15

\newline

Write your answer with

y

first, followed by an inequality symbol. Use integers, proper fractions, and improper fractions in simplest form.

Identify Equation Form: Identify the slope-intercept form of an equation. $\newline$ The slope-intercept form of a linear equation is $y = mx + b$ , where $m$ is the slope and $b$ is the y-intercept.
Isolate Y-Term: Isolate the y-term on one side of the inequality to get it into slope-intercept form. $\newline$ Starting with -3x + 5y > 15, we want to isolate the y-term. To do this, we can add $3x$ to both sides of the inequality. $\newline$ -3x + 5y + 3x > 15 + 3x $\newline$ This simplifies to: $\newline$ 5y > 3x + 15
Divide to Solve $Y$ : Divide all terms by the coefficient of $y$ to solve for $y$ . $\newline$ Now we divide each term by $5$ to solve for $y$ . $\newline$ \frac{5y}{5} > \frac{3x}{5} + \frac{15}{5} $\newline$ This simplifies to: $\newline$ y > \frac{3}{5}x + 3

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\newline

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Write your answer with

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\newline

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\newline

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\newline

Write your answer with

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