Question

Convert the following into skope intercept form. Fill in the boxes to complete the inequality. Write numbers as tractions as necessary 4x - 3y > - 18 - 3v (first box should contain the inequality symbol) The first box should contain the inequality symbul

Answer 1

To convert the inequality 4x - 3y > -18 into slope-intercept form, solve for y to obtain y < (4/3)x + 6, which is the desired inequality in slope-intercept form.

Step-by-step explanation:

The question asks to convert the given inequality 4x - 3y > -18 into slope-intercept form. Slope-intercept form is y = mx + b where m is the slope and b is the y-intercept of the line. To convert the inequality to slope-intercept form, you'll need to solve for y.

The solution is as follows:

Add 3y to both sides: 4x > 3y - 18

Add 18 to both sides: 4x + 18 > 3y

Divide all terms by 3 to solve for y: (4/3)x + 6 > y or y < (4/3)x + 6

The inequality symbol '<' indicates that y is less than the expression on the other side. Therefore, the inequality in slope-intercept form is y < (4/3)x + 6.