Question

2x+3y<15 rearrange into slope intercept form solve for y

Answer 1

When we rearrange the expression, 2x + 3y < 15 into slope intercept form, the result obtained is
`y < -(2x)/(3)\ +\ 5`

How to rearrange the expression 2x + 3y < 15 to slope intercept form?

The expression highlighted from the question is given below:

• Expression: 2x + 3y < 15
• Slope intercept form =?

We can rearrange the expression, 2x + 3y < 15 into slope intercept form as illustrated below:

2x + 3y < 15

Subtract 2x from both sides

2x - 2x + 3y < 15 - 2x

3y < 15 - 2x

3y < - 2x + 15

Divided both sides by 3

`y < -(2x)/(3)\ +\ (15)/(3)\\ \\y < -(2x)/(3)\ +\ 5`

Thus, we can say that the slope intercept form for the expression given in the question is
`y < -(2x)/(3)\ +\ 5`