Question

5x-y≤10 graph th inequality

Answer 1

Hi
You still there?

Answer 2

First graph the line as if it is an equation 5x-y=10.
Then work out which side makes it true.
Do you need help to graph the line?

Answer 3

yes

Answer 4

What do you mean by work out what side makes it true

Answer 5

Do you use the y=mx + c method?

Answer 6

For drawing a line?

Answer 7

yes

Answer 8

ok
so what does the equation look like if you rearrange it to make it y=mx+c? Can you do that?

Answer 9

im truly not the brightest when it comes to math

Answer 10

that's ok - I just needed to know how much help you need
You want to rearrange 5x-y=10 so that you have y by itself on one side.
first we want to get rid of the 5x, so what do we do with it?

Answer 11

y=-5x+10

Answer 12

no that isn't quite right

Answer 13

5x-y=10
then subtract 5x off both sides
-y=-5x+10

Answer 14

You lost the minus sign

Answer 15

You there?

Answer 16

yes im just not sure what to do next

Answer 17

ok so we now need to get rid of the - sign next to the y, so we multiply through by -1, which just means we change the sign on everything.
that gives y=5x-10

Answer 18

Do you need any of that explained?

Answer 19

i get multipling by -1 and changing all the signs i still dont understand how im going to gra this

Answer 20

Getting there.
Now we want to know the slope of the line and the intercept so we can graph it.
Can you tell me what the intercept is for this line?

Answer 21

umm 10 not sure

Answer 22

Not quite. It is -10. Remember the minus sign belongs to the number that comes after it.
A way of thinking about the intercept is, we want to know what will y= when x=0.

Answer 23

ok

Answer 24

Now what about the slope?

Answer 25

5

Answer 26

Yes great.
Can you draw a line with a slope of 5 and an intercept of -10?
I would find another point on the line myslef.
Say x=4, what will y =?

Answer 27

im not sure 8

Answer 28

y=5x-10
y = 5 times 4 - 10
y = 20 - 10
y=10

Answer 29

I'll do a sketch and we are nearly there. You should do one too and see if it looks like mine.

Answer 30

but are we multiplying 5 by 4

Answer 31

We did to find that one point to help us draw the graph

Answer 32

An easier way to draw a graph, I think is to make a set of co-ordinate pairs that make the equation true, and then join them up.
x y
0 -10
1 -5
2 0
3 5
4 10
5 15

Do you see what we are doing here?

Answer 33

yes

Answer 34

ok - can you draw the line graph now?
then we will deal with the <= sign

Answer 35

I mean \[\le\]

Answer 36

Does it look like this?