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Mathematics 21 Online
OpenStudy (abbycross167):

Can someone please show me how to graph this question? I tried but I got it half way wrong... I really need help please... Question~ Graph the following systems. Draw one line in yellow and one line in blue. Indicate the solution to the system ON the GRAPH. x - y = 0 3x + y = -4

OpenStudy (abbycross167):

OpenStudy (abbycross167):

what my teacher said about my graph~ "1st line graphed correctly; 2nd is not"

OpenStudy (abbycross167):

@alexandrea.lane do you think you could help me?

OpenStudy (alexandrea.lane):

Yeah, give me a second

OpenStudy (abbycross167):

ok thank you very much

OpenStudy (mathmale):

Hello, Abby, what happened to our dialogue? We were discussing this same question. Have you graphed y=x? Have you graphed y=-3x-4? Eventually y ou'll have to graph both and determine where the two lines intersect. I will be getting off the 'Net now, but will return later.

OpenStudy (alexandrea.lane):

I cant open your attachment

OpenStudy (abbycross167):

I closed the question (by accident) and you weren't replying to me so I figured you couldn't see it anymore... I'm sorry

OpenStudy (abbycross167):

@alexandrea.lane I can send a link to the graph... would you be ok with opening it that way?

OpenStudy (alexandrea.lane):

Maybe. I'm on my school laptop so a lot of things are blocked by lets try it

OpenStudy (abbycross167):

ok, it's a long link

OpenStudy (abbycross167):

I've copied and pasted this into a new tap on my computer and it took me to the graph

OpenStudy (alexandrea.lane):

Does your computer have snipping tool?

OpenStudy (abbycross167):

I'm not sure what that is... but maybe it does

OpenStudy (alexandrea.lane):

What computer do you have?

OpenStudy (abbycross167):

a dell laptop

OpenStudy (alexandrea.lane):

You want to go in the start menu and type in search bar "Snipping tool" I cant open the link

OpenStudy (abbycross167):

ok then what?

OpenStudy (alexandrea.lane):

You'll get a little box on your screen and a plus sign. Just copy the graph and save it

OpenStudy (abbycross167):

ok I did that

OpenStudy (alexandrea.lane):

You saved it?

OpenStudy (abbycross167):

yes ma'am, do you want me to put it on here using the attach file ?

OpenStudy (alexandrea.lane):

yeah

OpenStudy (abbycross167):

OpenStudy (abbycross167):

Can you see the graph now?

OpenStudy (alexandrea.lane):

I can!

OpenStudy (abbycross167):

ok awesome

OpenStudy (alexandrea.lane):

So you put both problems in slope form?

OpenStudy (abbycross167):

Yes ma'am I guess...

OpenStudy (alexandrea.lane):

You guess??

OpenStudy (abbycross167):

well that's what I did and my teacher said "1st line graphed correctly; 2nd is not" so I'm not sure if I should have only done one or what

OpenStudy (alexandrea.lane):

Okay what are your two equations

OpenStudy (abbycross167):

x - y = 0 3x + y = -4

OpenStudy (alexandrea.lane):

you want the y by its self

OpenStudy (abbycross167):

yes ma'am

OpenStudy (alexandrea.lane):

So your new equations would be?

OpenStudy (mathmale):

3x+y=-4 is your second equation. Subtract 3x from both sides, thus isolating y on the left side.

OpenStudy (abbycross167):

x - y = 0 y=0? 3x + y = -4 = 4+3x+y=0?

OpenStudy (mathmale):

Actually, abby, y=x in the first case, and in the second case we solve for y and obtain y=-3x-4.

OpenStudy (mathmale):

As pointed out earlier by someone else, we want to isolate y on the left side and all the rest on the right side. That gives you y on the left side and -3x-4 on the right side. The equation on the right side has a slope of what? y-intercept of what?

OpenStudy (mathmale):

Abby, you posted a graph some time back and were correct: mathgraph2.png Why go through all this all over again? How might others best help you at this point?

OpenStudy (abbycross167):

My teacher told me I got one line wrong...

OpenStudy (mathmale):

Yes, you've mentioned that a couple of times. y=x is straightforward; it goes through the origin (0,0) and has a slope of 1. y=-3x=-4 is also a straight line, but it has a slope of negative 3 (m=-3) and a y-intercept of (0,-4). Are you able to plot such a line? I think you should graph it by hand for the learning experience.

OpenStudy (mathmale):

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OpenStudy (mathmale):

Look at y=-3x-4 again. IF x = 0, y = -3(0) - 4, or just -4. Thus, (0, -4) is a point on this line. Plot the point (0,-4) on the axes I've created for you just now.

OpenStudy (abbycross167):

|dw:1453860765451:dw|

OpenStudy (mathmale):

|dw:1453860755207:dw|

OpenStudy (mathmale):

Nice job. Now, you must find one additional point on the graph of y=-3x-4 For example, let x=-1 and find y; plot the resulting point, and then draw a line thru the 2 points. Abby, I have to get off the 'Net but will be back after 7.

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