Mathematics
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OpenStudy (anonymous):
what is the slope of a line that passes trough the points( -2 5)and (1 4)
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jimthompson5910 (jim_thompson5910):
use the slope formula
\[\Large m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\]
jimthompson5910 (jim_thompson5910):
(x1,y1) = (-2,5) is your first point
(x2,y2) = (1,4) is your second point
OpenStudy (anonymous):
-1/3?
jimthompson5910 (jim_thompson5910):
yes you got it
OpenStudy (anonymous):
thank you im glad im getting better at this
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OpenStudy (anonymous):
could you help with another
jimthompson5910 (jim_thompson5910):
me too and sure, go ahead
OpenStudy (anonymous):
the pair of points (6 y and 10 -1 lie on a line with slope 1/4 what is the value of y
jimthompson5910 (jim_thompson5910):
you mean (6,y) and (10,-1) right?
OpenStudy (anonymous):
yes
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jimthompson5910 (jim_thompson5910):
so you would use the slope formula to get this
\[\Large m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\]
\[\Large \frac{1}{4} = \frac{-1-y}{10-6}\]
solve for y
jimthompson5910 (jim_thompson5910):
in this case, (x1,y1) = (6,y) and (x2,y2) = (10,-1)
OpenStudy (anonymous):
but theres not another y
jimthompson5910 (jim_thompson5910):
what do you mean?
OpenStudy (anonymous):
its just 6 y not and another number
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jimthompson5910 (jim_thompson5910):
y is a placeholder for some number
jimthompson5910 (jim_thompson5910):
for now, we just leave it as y
jimthompson5910 (jim_thompson5910):
that is why I have -1-y in the numerator in my steps above
OpenStudy (anonymous):
okay im slowly following
OpenStudy (anonymous):
so i would do the same seps just without another number so i would use y as 0
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jimthompson5910 (jim_thompson5910):
I'm not sure what you mean
OpenStudy (anonymous):
y is nothing so i just solve it as if y was 0?
jimthompson5910 (jim_thompson5910):
you need to isolate y in this equation
\[\Large \Large \frac{1}{4} = \frac{-1-y}{10-6}\]
OpenStudy (anonymous):
how do i do that
jimthompson5910 (jim_thompson5910):
cross multiply, then isolate y
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OpenStudy (anonymous):
10-6 =4 -1-y=?
jimthompson5910 (jim_thompson5910):
kinda, but you're missing something
OpenStudy (anonymous):
what is that wait dont i have to divide?
jimthompson5910 (jim_thompson5910):
at some step, I think you do
jimthompson5910 (jim_thompson5910):
but not right away
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OpenStudy (anonymous):
so what comes before division
jimthompson5910 (jim_thompson5910):
what do you get when you cross multiply
OpenStudy (anonymous):
ummm 10 y and positive 6 im sorry if i keep getting this wrong
jimthompson5910 (jim_thompson5910):
no
jimthompson5910 (jim_thompson5910):
it might help to simplify 10-6 first
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OpenStudy (anonymous):
-2
jimthompson5910 (jim_thompson5910):
no idk how you're getting that
OpenStudy (anonymous):
just forget it ill medal and fan anyway sorry i don't understand thank you awhole great deal for trying to help me though i really appreciate it
jimthompson5910 (jim_thompson5910):
what is the -2 referring to? I asked you to simplify 10-6 and you got -2 so idk how you got that