i need help!.... Write the equation of the line which passes through (4, –2) and is perpendicular to the line with equation 2y – x = 1.
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jimthompson5910 (jim_thompson5910):
First solve for y
\[\Large 2y – x = 1\]
\[\Large 2y = x + 1\]
\[\Large y = \frac{x + 1}{2}\]
\[\Large y = \frac{1}{2}x + \frac{1}{2}\]
What is the slope in that last equation above?
OpenStudy (anonymous):
x + 2y = 2 ??
jimthompson5910 (jim_thompson5910):
no, that's not the final answer
OpenStudy (anonymous):
2x - y = 4 ???
jimthompson5910 (jim_thompson5910):
still no
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OpenStudy (anonymous):
x - 2y =6
jimthompson5910 (jim_thompson5910):
that line is parallel and not perpendicular to the given one
OpenStudy (anonymous):
so 2x + y = 6
jimthompson5910 (jim_thompson5910):
you got it
OpenStudy (anonymous):
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OpenStudy (anonymous):
any way of tellin if this is true or false?
jimthompson5910 (jim_thompson5910):
What is this asking or making a statement about?
jimthompson5910 (jim_thompson5910):
I just see a table, but no statement. So what is it saying true or false about?
OpenStudy (anonymous):
it only asks if the table is t or f ..??
jimthompson5910 (jim_thompson5910):
is this the whole question?
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OpenStudy (anonymous):
sorry the statement above says, "the table below does not dfine a funciton" t or f ??
jimthompson5910 (jim_thompson5910):
what do you think
jimthompson5910 (jim_thompson5910):
are there any cases where an x value maps to more than one y value?
OpenStudy (anonymous):
i said true
jimthompson5910 (jim_thompson5910):
why don't you think it's a function?
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OpenStudy (anonymous):
because x values match to more than one y??
OpenStudy (anonymous):
or some x's do
jimthompson5910 (jim_thompson5910):
are there any cases where one x value maps to more than one y value?
OpenStudy (anonymous):
yes, to the 1
jimthompson5910 (jim_thompson5910):
no, you're looking at it backwards from what I'm asking
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OpenStudy (anonymous):
ohhhh sorry, that is the range.. then it would be no
jimthompson5910 (jim_thompson5910):
each x maps to only one y value
jimthompson5910 (jim_thompson5910):
you don't have x = 1 for example mapping to two different things (say y = -1 and y = 0). It only maps to one thing and that is y = -1
OpenStudy (anonymous):
so the table is true, it is a function
jimthompson5910 (jim_thompson5910):
It is a function
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OpenStudy (anonymous):
or excuse me, false because it it is a function
jimthompson5910 (jim_thompson5910):
The original statement was "the table below does not define a function"