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Write the following inequality in slope-intercept form. $\newline$ $-7x - y \geq 21$ $\newline$ 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

-7x - y \geq 21

\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 in Inequality: Isolate y in the inequality $-7x - y \geq 21$ . To isolate y, we need to add y to both sides of the inequality and subtract $21$ from both sides. $-7x - y + y \geq 21 + y$ $-7x \geq y + 21$ Now, subtract $21$ from both sides to get y by itself. $-7x - 21 \geq y$
Rewrite Inequality: Rewrite the inequality with $y$ on the left side. $\newline$ To match the slope-intercept form, we need $y$ to be on the left side of the inequality. Since the inequality is currently $y \leq -7x - 21$ , we can multiply both sides by $-1$ to reverse the inequality sign and get $y$ on the left. $\newline$ $y \leq 7x + 21$ $\newline$ However, when we multiply or divide both sides of an inequality by a negative number, we must reverse the inequality sign. $\newline$ $y \geq -7x - 21$

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\newline

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\newline

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\newline

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\newline

Write your answer with

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\newline

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