Question

Select the inequality that corresponds to the given graph.

4x - 3y > - 12

x + 4y > 4

4x - 2y < - 8

2x + 4y greater than or equal to - 16

Answer 1

Post the graph.

Answer 2

okay, what's the equation of that line?

Answer 3

Would it be (-2,3)

Answer 4

Well there is a point (-2;0) and a point (0,4). Use those points to figure out the slope.

Answer 5

I would use y=mx+b to find the slope right?

Answer 6

Yea, you could do that.

Answer 7

So would the answer by a slope of 4?

Answer 8

Can you post your calculations here? (The slope is not 4, and you're nowhere near the answer yet).

Answer 9

I'm confused? Can you please walk me through on how to find the slope, I don't expect you to just give me the answer i really want to learn how to find the slope and be able to understand this stuff?

Answer 10

Well, slope in your equation is M = difference in y / difference in x
To find the slope you would take two points, say:
(x1; y1), and (x2;y2) and M would be:\[M = \frac{y_2-y_1}{x_2-x_1}\]

Answer 11

Yes. You can also think about it in terms of rise/run (how much the graph went up by (or down) divided by how much it went to the right (or left). Like this:

Answer 12

Doesn't matter what points you pick, as long as they're on the line. I picked the ones that were easy to calculate.

Answer 13

so the rise is 2 and the run is 1

Answer 14

Yes, and the slope is?

Answer 15

wait i don't understand the slope is positive right? So how could it be -16?

Answer 16

Ok, which two points did you pick to find the slope?

Answer 17

-2,0

Answer 18

That's only one point: (-2,0) -> (x,y).

Answer 19

okay so i used (-2,0) and (4,0) and then i subtracted 4- -2 and i got 6?

Answer 20

(4,0) is not on that line. Keep in mind, the order is: (x,y)

Answer 21

(0,3) is on the line right?

Answer 22

take a look at what's on the line, stop guessing.

Answer 23

I didn't guess isn't 0 on the x axis and 3 on t y axis? I am honestly really trying

Answer 24

It needs to be right on top of that dashed line.

Answer 25

what do you mean by on top of the line?

Answer 26

Hang on, I'll draw some.

Answer 27

sorry:/

Answer 28

The red ones are on that dashed line. The blue ones are not.

Answer 29

so my two pints could be (-2,0) and (-2,4)?

Answer 30

points

Answer 31

mark (-2,4) in the graph you showed me.

Answer 32

-2 is on the x axis and 4 is on the y axis

Answer 33

But where is the point itself:
(-2;4)
Is that point on the line?

Answer 34

Yes

Answer 35

No! sorry, i understand you now

Answer 36

(-2,-2)

Answer 37

(-2, -2) is on the dashed line?

Answer 38

No i didn't mean -2... (-2,1)

Answer 39

You need to watch this:
http://www.virtualnerd.com/algebra-1/relations-functions/coordinate-plane/coordinate-plane-graphing/coordinate-plane-graph-points-example

Answer 40

Use the point-slope formula for this question( \[y=mx+b\] ). Note that M is the slope or rise over run.
\[Rise/Run\]
Therefore, we already have point (-2,0) and a point (0,4) and with these points we have, we can figure out the slope.
Rise/Run or 4/2
Which equals 4
When x=0 the y-value line hits the y-axis, you can notice that B (y-intercept) is 4.
So \[y=mx+b\] you plug in the numbers and u get y=2x+4

From your graph, the dividing line is a dash line. Solid line is greater than or less than and the dash line is greater than/less than or equal to. 2x+4 is less than the y shaded area. The area above is shaded (because y is greater than 2x+4)

Soooooo the answer is y>2x+4

someone correct me if i had did something wrong