Question

HELP I HAVE NO IDEA HOW TO DO THIS. MEDAL WILL BE GIVEN.

Answer 1

What is it dobby?

Answer 2

yea?

Answer 3

what is the equation for the given graph

Answer 4

let me post the graph one sec

Answer 5

Wont let me open :( sorry dobby

Answer 6

its ok

Answer 7

Dobby you go to connections academy?

Answer 8

5x-6=0 i think

Answer 9

@jay3752 It has to be greater than or less then to have the shading.

Answer 10

its not one of the answer choices my choices are
-6x+5y is greater than of equal to -30
-6x+5y is less than or equal to -30
5x-6y is greater than or equal to -30
5x-6y is less than or equal to -30

Answer 11

@amistre64

Answer 12

can any one help me?

Answer 13

i dont just want the answer i need this explained to me as well

Answer 14

@mathstudent55 @phi @ganeshie8

Answer 15

the answer choices are
its not one of the answer choices my choices are
-6x+5y is greater than of equal to -30
-6x+5y is less than or equal to -30
5x-6y is greater than or equal to -30
5x-6y is less than or equal to -30

Answer 16

hmm

Answer 17

@Preetha

Answer 18

i dont know what to do please

Answer 19

So we're given a graph and we need to identify the inequality relationship that represents it? Hmmm ok.

So start by finding the slope of that line.
It passes through (-6,0) and (0,5).
Remember how to find slope? \[\Large m=\frac{y_2-y_1}{x_2-x_1}\]

Answer 20

ok so then we get \[\frac{ 5-0 }{ 0+6 }\]

Answer 21

or\[\frac{ 5 }{ 6 }\]

Answer 22

Ok good. Since it's a straight line, we can set it up in this form.

\[\Large y=mx+b\]
Our y-intercept is, \(\Large b=5\) since the line passes through (0,5).

Answer 23

So we have this so far, yes?\[\Large y=\frac{5}{6}x+5\]

Answer 24

yeah

Answer 25

See how the region `below` our line is shaded?
That means we include all `y value` LESS THAN the equation of the line.\[\Large y <\frac{5}{6}x+5\]
But let's think for a moment, should it be a `strict` inequality or no?
Do you remember which inequality corresponds to a dashed line or solid?

Answer 26

a inequality that is greater than or equal to is solid a dashed line is one with like a greater than sine

Answer 27

Yes, good good.
Our line is `solid`, which means we want to `include` the values along that line.
So we'll use the `less than OR EQUAL TO` symbol.\[\Large y \le \frac{5}{6}x+5\]

Answer 28

From here, to match the form they listed the answer in, we'll need to move some things around.

Multiplying both sides by 6 gives us,\[\Large 6y \le 5x+30\]

Answer 29

Hmm there's probably a better way to solve this.
Like we'll need to do a bunch more little annoying things to match our answer.

Maybe starting with point-slope form or something else would have been better.

Answer 30

\[y \le30x+180?\]

Answer 31

It'll work out, it's just going to be annoying :) lol

Answer 32

oh great lol

Answer 33

Hmm it looks like you multiplied by 6 again.. not sure why you did that :3
We DON'T want to isolate our y in this problem.

Answer 34

oh i get it it should look like\[-5x+6y \le30\]

Answer 35

but that is not one of the answer?

Answer 36

Yes good, now see how all of your options have -30 on the right?
Looks like we have to match that somehow.

Answer 37

oh ok

Answer 38

but how

Answer 39

Let's multiply both sides of our inequality by -1.

Answer 40

It will change the sign of everything.
REMEMBER: When you multiply a negative number across an inequality, it will FLIP the direction of the inequality!

Answer 41

ok making is \[5x-6y \ge-30\]

Answer 42

yay good job \c:/

\(\large \text{*hands dobby a sock*}\)

Answer 43

thx so much

Answer 44

There's probably an easier way to do that.
We kind of took a long route.

So maybe read up a little bit... I'll bet you can find a quicker path :o

Answer 45

and for that coment i am free whoo hoo