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Mathematics 20 Online
johnnn:

http://prntscr.com/ibg62h

Vocaloid:

first, you will graph the lines as if they were regular lines not inequalities. Then we will modify the lines + add shading to indicate the direction of the inequality start by graphing y = -6x - 2 as normal

Vocaloid:

if you are having trouble with this step let me know

johnnn:

can you show me how it would be on the graph please?

Vocaloid:

alright, let's do a quick review of how to graph y = mx + b equations m is the slope, b is the y-intercept so for y = -6x -2 slope is -6 and intercept is -2

Vocaloid:

let's start by putting (0,-2) on the graph since that's the intercept

Vocaloid:

|dw:1518019367397:dw|

Vocaloid:

|dw:1518019372904:dw|

Vocaloid:

since the slope is 6, let's go up 6 units and to the right 1 unit

Vocaloid:

connect the lines like so:

Vocaloid:

johnn can you try graphing y = -10 + 5x using the same method?

johnnn:

and theres supposed to be a shaded part to the graph...where will that be?

Vocaloid:

let's just take care of the lines first what does the graph of y = -10 + 5x look like? can you try drawing it?

Vocaloid:

the more you participate, the faster this can get done

Vocaloid:

if you're having trouble I'm happy to help but you need to say something

johnnn:

I have all the lines correct, now i just need the shading

Vocaloid:

ok, since the first two inequalities are > they need to be dashed lines (not solid) and both lines need to have shading in the region above them

Vocaloid:

y <= 0 needs to have shading below it

johnnn:

can you show me visually?

Vocaloid:

|dw:1518021232193:dw|

Vocaloid:

|dw:1518021293017:dw|

Vocaloid:

|dw:1518021302247:dw|

Vocaloid:

|dw:1518021312129:dw|

Vocaloid:

the solution should be emphasized, which is this little part right here|dw:1518021339520:dw|

johnnn:

so the whole bottom part has to be shaded?

Vocaloid:

yes (shade the whole bottom part lightly (if that's possible) then shade the solution darkest)

johnnn:

okay thank you

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