Question

Write the following inequality in slope-intercept form.

12x-3y≤-21

Answer 1

12x - 3y ≤ -21
Subtract 12x from both sides
-3y ≤ -12x - 21
Divide both sides by -3.
y
`\geq` 4x + 7

Answer 2

`y\geq4x+7`

Explanation:

`12x-3y\leq -21`

To get slope intercept for of inequality we need to get y alone

To isolate y , first we subtract 12x on both sides

`12x-3y\leq -21`

`-3y\leq -12x-21`

Now we divide each term by -3

When we divide an inequality by a negative number then we reverse the inequality sign ≤ becomes ≥

`y\geq4x+7` (inequality in slope intercept form)