## sm101 2 years ago Graph the inequality y > −4x

1. freewilly922

Do you know how to graph y=-4x?

2. sm101

3. freewilly922

Not y>-4x but y=-4x

4. sm101

eh.. I don't know how to do either. Do you mind drawing it for me?

5. freewilly922

1) I can't do it for you. There are limits to the help we can give. The best I can do is show you. The easiest way is plug and chug. If you can find two points for an equation you can draw it by connecting the two points with a ruler and drawing a line. For y=-4x what is y for x=0 and x=-1? what is y=-4(0) ? y=-4(-1)?

6. sm101

y=0 and y=4

7. sm101

are these the 2 points?

8. freewilly922

These are the y values for your two points. (x1,y1) (x2,y2) You chose x1= 0 and x2=-1 and found y1= 0 and y2 = +4 so your points are (0,0) and (-1,4) so on graph paper or your own sketched graph you can plot (0,0) and (-1,4) draw a line between them.

9. sm101

ok.. would I have to shade anything on the graph.. or make the line that passes through the points dashed?

10. freewilly922

Yes. When it says y> -4x it is implying that all the y values above y=-4x. So that would mean you would dash the line, to show you are not including the line in the graph, and then shade everything ABOVE the dashed line.

11. sm101

I thought so... glad I checked.

12. freewilly922

So for (0,0) at x=0 all the y values above 0 should be shaded, but not 0.

13. sm101

Gotcha. Thank you!