Write the following inequality in slope-intercept form. -3x + 5y > 15 Write your answer with y first, followed by an inequality symbol. Use integers, proper fractions, and improper fractions in simplest form.
Q. Write the following inequality in slope-intercept form. −3x+5y>15 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.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.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.-3x + 5y + 3x > 15 + 3xThis simplifies to:5y > 3x + 15
Divide to Solve Y: Divide all terms by the coefficient of y to solve for y.Now we divide each term by 5 to solve for y.\frac{5y}{5} > \frac{3x}{5} + \frac{15}{5}This simplifies to:y > \frac{3}{5}x + 3
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