i need help understanding and figuring this out
-x+2y=2
graph the linear equation and it needs three solutions
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OpenStudy (marissalovescats):
Put it into y=mx +b
OpenStudy (anonymous):
yeah graphing aint my thing
OpenStudy (marissalovescats):
I'll let someone else help you I don't think I'm quite on the right track haha
OpenStudy (anonymous):
but i have to plot and have 3 different solutions to slove the same linearr equation
OpenStudy (marissalovescats):
You mean just find 3 points on the graph?
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OpenStudy (anonymous):
yeah and they all have to solve the equation
OpenStudy (marissalovescats):
Well if the points are on the line, they should be solutions.
OpenStudy (anonymous):
but their isnt any on the line thats wat i hve to figure out
OpenStudy (marissalovescats):
Are you given the solutions?
OpenStudy (anonymous):
no im given the equation and i have to figure out the x and y
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OpenStudy (anonymous):
and there has to be 3 soulutions
OpenStudy (marissalovescats):
What Im saying is.. Put this equation into slope intercept form y=mx+b and graph it then pick 3 points on your line that you graph and those should be solutions for your equation.
OpenStudy (marissalovescats):
@jim_thompson5910
OpenStudy (anonymous):
\[y=1/2x+1\]
OpenStudy (marissalovescats):
Okay now graph it
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OpenStudy (marissalovescats):
1/2 is your slope and 1 in you y-int
OpenStudy (jdoe0001):
is a straight line
so for that all you really need is 2 points to plot it
try setting y = 0
that way you get the x-intercept, the y-intercept is already in the mx+b equation, which is b = 1
jimthompson5910 (jim_thompson5910):
if x = 0, then y is..
-x+2y=2
-0+2y=2
0 + 2y = 2
2y = 2
y = 2/2
y = 1
So we know the point (0,1) is on the line -x+2y=2
------------------------
If x = 2, then y is
-x+2y=2
-2+2y=2
2y = 2 + 2
2y = 4
y = 4/2
y = 2
giving us the point (2,2) which is also on the line -x+2y=2
OpenStudy (marissalovescats):
Or you could do it there way :P
jimthompson5910 (jim_thompson5910):
you keep this up for however many points you want
next you plot each point
finally you draw a straight line through every point to graph -x+2y=2
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OpenStudy (anonymous):
so my third piont is 0,4 ??
jimthompson5910 (jim_thompson5910):
(0,4) is not on the line
OpenStudy (anonymous):
4,4??
jimthompson5910 (jim_thompson5910):
-x+2y=2
-4+2y=2 ... plug in x = 4
2y = 2+4
2y = 6
y = 6/2
y = 3
when x = 4, y = 3
the point (4,3) is on the line
OpenStudy (anonymous):
o okaii that makes a whole alota since :) thanks
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jimthompson5910 (jim_thompson5910):
yw
OpenStudy (anonymous):
can u help me with some more??
jimthompson5910 (jim_thompson5910):
sure, one more
OpenStudy (anonymous):
x-3y=-6
jimthompson5910 (jim_thompson5910):
when x = 0, y = ???
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OpenStudy (anonymous):
2
jimthompson5910 (jim_thompson5910):
when x = 3, y = ???
OpenStudy (anonymous):
3
jimthompson5910 (jim_thompson5910):
when x = 6, y = ???
OpenStudy (anonymous):
4
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jimthompson5910 (jim_thompson5910):
so we have these 3 points
(0,2), (3,3), (6, 4)
OpenStudy (anonymous):
omg U MADE THAT SO EASY FOR MEH :) thanks:)
jimthompson5910 (jim_thompson5910):
I didn't do much, you did all the work lol
jimthompson5910 (jim_thompson5910):
but you're welcome
OpenStudy (anonymous):
but still u broke it down and helped meh understand it better soo thanks
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jimthompson5910 (jim_thompson5910):
I'm glad I helped out and that you understand it all