Question

Which is the graph of the linear inequality x – 2y > –6?

Answer 1

Alright I'll take you through the steps.

1. Convert this equation into y=mx+b form where m=slope and b=y intercept.
Do this by isolating y on a side by itself: Subtract the x on the left and put it on the right side to make -2y>-6-x. Then divide the whole equation by -2 to get y and only y on the left side making the equation y<1/2x+3. Note that the inequality has flipped around because we divided.

2. So we are given that the sign is a less than, which means that the line of the equation is dotted and shaded down.

3. Using the dotted and shaded down line, plot the point (0,3) because that is the y intercept given in the equation. Then the slope would be positive/going up because the slope is 1/2x. This means that from that point (0,3), the next point would be up 1 and right 2. Do this for all points.

Answer 2

Using the info, the graph should look like this ^^^^^^^ understand?