Mathematics
11 Online
OpenStudy (anonymous):
Write the equation of the line on the following graph. (pic included) Please let me know if my answer is correct?
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OpenStudy (anonymous):
OpenStudy (anonymous):
What did you get??
OpenStudy (anonymous):
My answer was y = 3/3x + 1
please let me know if im correct
OpenStudy (anonymous):
nope, not correct.
OpenStudy (anonymous):
2/3?
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OpenStudy (anonymous):
Explain it to me please.
OpenStudy (anonymous):
ok lets take any two points on the graph
OpenStudy (anonymous):
2/3 looks like the correct slope. You got everything correct except for the slope. instead of 3/3x it would be (2/3)x
OpenStudy (anonymous):
i will choose (0,-1)(1.5,0)
OpenStudy (anonymous):
I'll let @surdawi explain.
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OpenStudy (anonymous):
m = (y2 - y1)/(x2 - x1)
can you plug in the numbers and find the slope
OpenStudy (anonymous):
choose any two points
OpenStudy (anonymous):
How about points -1 and 3?
OpenStudy (anonymous):
you need two points on the line
OpenStudy (anonymous):
(0,-1) and (3,1)
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OpenStudy (anonymous):
ok
now what are the y values and what are the x values
OpenStudy (anonymous):
y values are 1 and -1, x are 0 and 3
OpenStudy (anonymous):
can you substitute into this equation
m = (y2-y1)/(x2-x1)
OpenStudy (anonymous):
m = (1 - -1) / (3-0)
OpenStudy (anonymous):
what will it be
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OpenStudy (anonymous):
2/3
OpenStudy (anonymous):
y – y1 = m*(x – x1)
plug in
OpenStudy (anonymous):
y-(-1)=mx-m0
OpenStudy (anonymous):
would that be it?
OpenStudy (anonymous):
yes, what is m
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OpenStudy (anonymous):
m is 1?
OpenStudy (anonymous):
u solved for it earlier
OpenStudy (anonymous):
I just don't understand how to subtract mx from m0
OpenStudy (anonymous):
anything times zero is zero
OpenStudy (anonymous):
y - -1 = mx
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OpenStudy (anonymous):
m is 2/3 right?
OpenStudy (anonymous):
Oh okay, so i put 2/3 into the formula
OpenStudy (anonymous):
yes
y - -1
what is - - 1=
OpenStudy (anonymous):
it is 1
OpenStudy (anonymous):
So y + 1 = 2/3x?
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OpenStudy (anonymous):
yes
but the slope equation is
y = mx + b
move the 1 to the other side what do you get
OpenStudy (anonymous):
y = 2/3x + 1
Thank you! :)
OpenStudy (anonymous):
nope to move the one you need to subtract
y +1 = 2/3x
-1 -1
y = 2/3x - 1
OpenStudy (anonymous):
Oh okay, so I subtract the 1. Thank you for your help :)
OpenStudy (anonymous):
anytime