Please help me. How do I graph this equation and find 3 plots? -2y = -x + 8
Do yew have a graphing calculator?
No
You need to isolate your y variable, that will be a good start
-2y = -x + 8 .... what do you need to do to the y side of the equation to get rid of the -2?
divide? or add?
you tell me. Currently y is being multiplied by -2, correct?
yes
so what would be something you could do to eliminate that?
add 2
okay let's try adding 2. Remeber, what we do to one side we must also do to the other to keep it equal. So if we add 2, we end up with -2y + 2 = -x + 10
This did not get y alone. Let's try something else.
okay divide by 2?
|dw:1386626031990:dw|
very close! Do you see the issue?
the y is still a negative?
yes! what can we do about that?
should we have divided by a negative 2?
correct! can you write me the correct equation then before we move on to graphing?
|dw:1386626402020:dw|
Yes I think I see what you meant :) can you simplify it now?
|dw:1386626529850:dw| im not sure how to do the other side of y :/
or i mean y = 2 + -4
good your first one was correct, you should have|dw:1386626771747:dw|
oh okay.
Now, dividing by (-2) is the same thing as doing what?
im not sure ...
im sorry i dont know why im not just getting this
yes! i do
good! so now we have it in slope-intercept form, y=mx + b... which is y = (slope)x + y-intercept Can you identify for me where your graph will cross the y-axis? at y=?
It will cross the y-axis at b, so what is the b in your equation?
4
good... and what is x equal to at the y-axis?
once you have a few points plotted, since it is a linear equation you can just lay a ruler across the points to extend the graph beyond the points you have specifically calculated
well i am doing this on an online graph. i don't understand how much i am supposed to go up for the last two plots
thank you for being patient with me
Did you do that table I sent you? Because those are the points to plot... the y values are how high you go vertically and the x values are how far out you go horizontally
Just to note -- I don't think we finished working the negative through up there. Final equation should be y=(1/2)x-4, because as you recall, we divided by (-2)
|dw:1386634474172:dw|
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