Question

Write the following inequality in slope-intercept form. 12x-3y≤-21

Answer 1

Answer:

$y\geq4x+7$

Step-by-step 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)

Answer 2

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