Write the following inequality in slope-intercept form. 4x−2y≤8 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. 4x−2y≤8 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 in Inequality: Isolate the y-term on one side of the inequality to solve for y.Starting with the inequality 4x−2y≤8, we want to isolate y. To do this, we first subtract 4x from both sides of the inequality.4x−2y−4x≤8−4xThis simplifies to:−2y≤−4x+8
Divide and Solve for y: Divide all terms by −2 to solve for y. When we divide each term by −2, we must remember to reverse the inequality sign because we are dividing by a negative number. −2y/−2≥(−4x)/−2+8/−2 This simplifies to: y≥2x−4
More problems from Linear inequalities: solve for y