Please Help! Find the value of y so that the line passing through (4, y) and (5, 3) has a slope of 1
If someone could provide a short explanation on how to do it to, I'd be greatful..
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jimthompson5910 (jim_thompson5910):
m = (y2 - y1)/(x2 - x1)
1 = (y2 - y1)/(x2 - x1)
1 = (3 - y)/(5 - 4)
solve for y
OpenStudy (anonymous):
i dont undertand :(
jimthompson5910 (jim_thompson5910):
I'll keep going
1 = (3 - y)/(5 - 4)
1 = (3 - y)/(1)
1*1 = 3 - y
1 = 3 - y
y = ???
jimthompson5910 (jim_thompson5910):
I'm just using the slope formula, then plugging in what we're given to find the unknown value
OpenStudy (anonymous):
............
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jimthompson5910 (jim_thompson5910):
where are you stuck?
OpenStudy (anonymous):
all of it...
jimthompson5910 (jim_thompson5910):
the slope formula is m = (y2 - y1)/(x2 - x1)
look familiar?
OpenStudy (anonymous):
yeah, I have the formula with me right here.
jimthompson5910 (jim_thompson5910):
ok great
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jimthompson5910 (jim_thompson5910):
the given slope is 1, so m = 1
jimthompson5910 (jim_thompson5910):
which is why I went from
m = (y2 - y1)/(x2 - x1)
to
1 = (y2 - y1)/(x2 - x1)
OpenStudy (anonymous):
okay i understand a bit now..
jimthompson5910 (jim_thompson5910):
then I plugged in the given points
jimthompson5910 (jim_thompson5910):
(x1,y1) is the first point
the first point is (4,y)
so you replace x1 with 4 and y1 with y
----------------------
(x2,y2) is the second point
the given second point is (5,3), so you replace x2 with 5 and replace y2 with 3
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jimthompson5910 (jim_thompson5910):
all of those substitutions give you
1 = (3 - y)/(5 - 4)
jimthompson5910 (jim_thompson5910):
and from there, you solve for y
OpenStudy (anonymous):
....... okay..
jimthompson5910 (jim_thompson5910):
so are things clearer?
OpenStudy (anonymous):
a bit
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jimthompson5910 (jim_thompson5910):
alright keep practicing and hopefully they'll get even more clearer
OpenStudy (anonymous):
i still dont know the answer ;___;
jimthompson5910 (jim_thompson5910):
1 = (3 - y)/(5 - 4)
1 = (3 - y)/(1)
1 = 3 - y
y = ____ ... fill in the blank
OpenStudy (anonymous):
i give up
jimthompson5910 (jim_thompson5910):
3 - NUMBER = 1
NUMBER = ???
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OpenStudy (anonymous):
1...?
jimthompson5910 (jim_thompson5910):
no
OpenStudy (anonymous):
oh....
jimthompson5910 (jim_thompson5910):
3-y = 1
3 = 1+y
3 - 1 = y
2 = y
y = 2
OpenStudy (anonymous):
i feel stupid... thank you though for tryingtoexplain it to me..
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