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Sure thing. First you want to identify the slope and the vertical-intercept.
Let's start with the first one: y=-2x+1
First you should find the solutions for x and y. Then you should plot a minimum of two points(for that you have to find two pairs of solutions). The line joining these two points will be the graph.
do you start at -2 and go up one over one? for the first one?
oops... you're backwards there.
You start at +1 on the y-axis, then you move down two and right 1.
so for the second one do i start at -5?
It should look something like this: |dw:1332820224868:dw|
Yes, for the second one, you do start at -5 on the y-axis
and i go up one over one right? lol
Yes (as long as by 'over' you mean 'right'). ;)
yeah. lol so how do i tell if they have one solution, no solution or many solutions?
Well, the one solution, no solutions, or infinitely many solutions has to do with systems of equations. So far, we've been talking about graphing a single equation.
Systems involve two linear equations on the same coordinate system.
From graphing, we could have 1 of 3 things happen. I'll draw the situations for ya...
Oh, let me check it out!
Yes, that looks great!
So, how would you write your answer?
You would write the answer: (2,-3)
The answer is the ordered pair that is the solution.
wouldnt it be -2, 3
No, remember, the x is listed first, and the y is listed second.
-2, 3 would be left two and up three.
oh right, can you help me with the next one? its y= -2x + 2 and y= x+5
Sure thing. Are you solving by graphing again?
Alright - How would you graph the first one?
start at 2 and go down 2 and over one?
Now, rather than use the word 'over' use 'left' or 'right'. I can't tell which way 'over' means to you. :)
the right i think
How would you graph the second equation?
start at 5 go up one to the right 1?
Where do they intersect?
1, 4 ??
I'm thinking maybe -1 and 4? Let me double-check.
Yeah, I'm thinking -1,4
Remember, you're going to the left 1 and then up 4.
alright haha i think im starting to get this, i just dont understand in class because my teacher just writes everything down and doesnt even explain what to do lol
Ask the teacher to explain. Trust me - I'm a math teacher. If you've got the question, there are at least 5 other students with the same question. You'll be doing the whole class a favor.
my teacher makes us all do questions infront of the class everyday and i never know what to do and everyone calls me stupid ... lol
:( that's sad.
Well, you'll know what to do for tomorrow, right? :)
i know, and when its their turn they do the same exact thing.. its really annoying but the teacher never says anything lol
and yes thank you :)
Right on! :) Well, good luck tomorrow!! XD