Question

Graph the inequality
y > −4x

Answer 1

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

Answer 2

No, thats why I asked...

Answer 3

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

Answer 4

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

Answer 5

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)?

Answer 6

y=0 and y=4

Answer 7

are these the 2 points?

Answer 8

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.

Answer 9

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

Answer 10

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.

Answer 11

I thought so... glad I checked.

Answer 12

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

Answer 13

Gotcha. Thank you!