Mathematics
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OpenStudy (anonymous):
Determine if the lines that pass through the given points are parallel, perpendicular or neither. Line A: (-3, 5) and (0, 7) Line B: (6, 2) and (9, 4)
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OpenStudy (anonymous):
@jim_thompson5910
jimthompson5910 (jim_thompson5910):
Do you know the slope formula?
OpenStudy (anonymous):
not sure
jimthompson5910 (jim_thompson5910):
hopefully you've seen this formula before
\[\Large m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\]
jimthompson5910 (jim_thompson5910):
or no?
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OpenStudy (anonymous):
oh yes!
OpenStudy (anonymous):
@jim_thompson5910
OpenStudy (anonymous):
@misty1212
jimthompson5910 (jim_thompson5910):
so you will use that formula to find the slope of the line AB
jimthompson5910 (jim_thompson5910):
do you know how to do that?
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OpenStudy (anonymous):
plug in the numbers x1 etc... but i dot have my calc
jimthompson5910 (jim_thompson5910):
you can use online calculators, such as this one
http://web2.0calc.com/
jimthompson5910 (jim_thompson5910):
ideally, you should be able to do this without a calculator (just use pen/pencil and paper)
OpenStudy (anonymous):
wait which set do i use
jimthompson5910 (jim_thompson5910):
Slope of AB
\[\Large m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{7-5}{0-(-3)} = ??\]
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jimthompson5910 (jim_thompson5910):
for AB, you use points A and B
you can make A be (x1,y1) and make B be (x2,y2)
OpenStudy (anonymous):
2/3
jimthompson5910 (jim_thompson5910):
yes, slope of AB is 2/3
jimthompson5910 (jim_thompson5910):
oh wait, my bad, this is just the slope of line A
jimthompson5910 (jim_thompson5910):
A is a line, not a point
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jimthompson5910 (jim_thompson5910):
slope of line A is 2/3
jimthompson5910 (jim_thompson5910):
Line B: (6, 2) and (9, 4)
find the slope of line B
OpenStudy (anonymous):
2/3?
jimthompson5910 (jim_thompson5910):
also, 2/3, yes
jimthompson5910 (jim_thompson5910):
whenever you have equal slopes, you have parallel lines
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OpenStudy (anonymous):
so what would the answer be
jimthompson5910 (jim_thompson5910):
extra info: if the two slopes multiply to -1, then the lines are perpendicular.
jimthompson5910 (jim_thompson5910):
it's practically given to you at this point
jimthompson5910 (jim_thompson5910):
slope of line A is 2/3
slope of line B is 2/3
OpenStudy (anonymous):
would it just be 2/3?
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jimthompson5910 (jim_thompson5910):
Original Problem: Determine if the lines that pass through the given points are parallel, perpendicular or neither.
OpenStudy (anonymous):
parallel?
jimthompson5910 (jim_thompson5910):
yes, we have 2 equal slopes (both equal to 2/3)
OpenStudy (anonymous):
thank u sososos much