Questions: -2 y > 6 (Do you have to flip the sign when converting to slope-intercept form? How do you know?) So, basically we are graphing two inequalities on the

-2 y > 6 (Do you have to flip the sign when converting to slope-intercept form? How do you know?)

So, basically we are graphing two inequalities on the

Transcript text: $-2 y>6 \quad$ (Do you have to flip the sign when converting to slopeintercept form? $\qquad$ How do you know?) So, basically we are graphing two inequalities on the

Solution

Solution Steps

Step 1: Divide both sides by -2

When converting the inequality $-2y > 6$ to slope-intercept form, we need to isolate $y$. To do this, divide both sides by $-2$.

Step 2: Flip the inequality sign

Because we are dividing by a negative number, we must flip the inequality sign. This gives us $y < -3$.

Step 3: Explanation

We flip the inequality sign when multiplying or dividing both sides of an inequality by a negative number because it reverses the order of the numbers. For example, $2 > 1$, but if we multiply both sides by $-1$, we get $-2 < -1$. The inequality sign must be flipped to maintain a true statement.