Can someone help me get the answer and show how they got it?
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OpenStudy (sbuck98):
OpenStudy (sbuck98):
@Nnesha do you know any of this stuff?
OpenStudy (sbuck98):
@paki @Luigi0210 @lynzandriptide @isry98
Nnesha (nnesha):
y=mx+b is slope intercept form where `m` is slope and `b` is y-intercept
OpenStudy (sbuck98):
How'd you get it though?
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Nnesha (nnesha):
i didn't get anything it's the original equation for slope intercept form
OpenStudy (sbuck98):
OH sorry! Could you help me solve ABCD for that problem? and explain how you got the answers
Nnesha (nnesha):
y=mx+b is slope intercept
parallel lines should have the same slope
example if the slope of line `a` is 2 then slope of line `b` would be 2 as wll
slope of perpendicular lines are `negative reciprocal` if slope of line a is a/b then slope of `b` would be -b/a
OpenStudy (sbuck98):
okay!
Nnesha (nnesha):
so what's the slope of line J ??
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OpenStudy (sbuck98):
Y=-4+2x?
Nnesha (nnesha):
just slope
Nnesha (nnesha):
like i said y=mx+b m is slope which is always with x variable
OpenStudy (sbuck98):
so 2?
Nnesha (nnesha):
yes right
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Nnesha (nnesha):
now we need equation of the line that's parallel to y=2x+4
slope of new line would be what ?
parallel lines would have the same slope
OpenStudy (sbuck98):
so it's the same?
Nnesha (nnesha):
yes right
OpenStudy (sbuck98):
SO that would be by anwser for A?
Nnesha (nnesha):
yes what about B ?
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OpenStudy (sbuck98):
The same because anything that's parallell is the same
Nnesha (nnesha):
yes right!
OpenStudy (sbuck98):
OK:)))
Nnesha (nnesha):
so part C) find the equation
m=2 we already know that
so y =mx+b use the order pair they gave u for x and y values and replace m with 2 to find b
Nnesha (nnesha):
\[\huge\rm y=2x+b\] passes through (3,7)
so replace (x,y) with (3,7) and solve for b
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OpenStudy (sbuck98):
7+2*3+b?
Nnesha (nnesha):
if you mean 7 `=` 2(3)+b then yes now solve for b
OpenStudy (sbuck98):
1?
Nnesha (nnesha):
yes right
so b=1 now you can replace b with one in the original equation
OpenStudy (sbuck98):
7=2(3)+1
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Nnesha (nnesha):
well we need in slope intercept form so keep the x and y variables
y=2x+1
OpenStudy (sbuck98):
thank you
Nnesha (nnesha):
last part if the we need line that's perpendicular to line j
y=2x+4
like i said perpendicular slopes are negative reciprocal
so what would be the slope of line h ?
Nnesha (nnesha):
i've to go will be back
OpenStudy (sbuck98):
y=-4+2x
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OpenStudy (sbuck98):
ok how long?
Nnesha (nnesha):
oh well got few mints
OpenStudy (sbuck98):
oh good!
Nnesha (nnesha):
alright here is ane example if slope of the first line is a/b then perpendicular slope would be `-b/a` <--flipped the fraction and changed the sign
Nnesha (nnesha):
so what's the perpendicular slope for line h ?
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OpenStudy (sbuck98):
So I had it right?
Nnesha (nnesha):
no
OpenStudy (sbuck98):
-4+2x=y
Nnesha (nnesha):
i said slope would negative reciprocal
but the slope of the equation u posted is the same like J=2x+4
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OpenStudy (sbuck98):
ok
Nnesha (nnesha):
what's the slope of line j ?
OpenStudy (sbuck98):
-4+2x=j
Nnesha (nnesha):
why are u keep posting that equation ?
j=2x `+` 4
OpenStudy (sbuck98):
ok
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Nnesha (nnesha):
what's the `slope`( not the equation) of line J ?
OpenStudy (sbuck98):
2
Nnesha (nnesha):
yes right so slope of line h would be negative reciprocal of 2
OpenStudy (sbuck98):
you prob think im stupid but are we on C or D?
Nnesha (nnesha):
for which part they are asking `perpendicular ` equation ? :=)
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OpenStudy (sbuck98):
D:)
Nnesha (nnesha):
yes so ofc D
Nnesha (nnesha):
here is an example if slope of first equation is a/b then slope of perpendicular equation would be -b/a
so if the slope of line J is 2 then slope of line h would be what ?
OpenStudy (sbuck98):
-2
Nnesha (nnesha):
what's the reciprocal of 2 ?
it's same as 2/1
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OpenStudy (sbuck98):
1/2
OpenStudy (sbuck98):
or 1
Nnesha (nnesha):
no 1/2 is right so it would be -1/2
OpenStudy (sbuck98):
ok
Nnesha (nnesha):
now replace m with -1/2 and substitute (x,y) for given order to find b
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OpenStudy (sbuck98):
help
Nnesha (nnesha):
what's the original equation of slope intercept ?
Nnesha (nnesha):
for **
OpenStudy (sbuck98):
j=2x=4
OpenStudy (sbuck98):
+4
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Nnesha (nnesha):
you really like that equation
y=mx+ b is the original equation replace m with -1/2 and then (x,y) with the given point in part D
OpenStudy (sbuck98):
-1/2+8+10
Nnesha (nnesha):
hmm y=mx+b
y value should at left side
Nnesha (nnesha):
just like u did for part C
OpenStudy (sbuck98):
10=-1/2(8)
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Nnesha (nnesha):
yes right solve for b 10=-1/2(8)+b
Nnesha (nnesha):
gtg
OpenStudy (sbuck98):
ok
OpenStudy (sbuck98):
b=21/2=10.500
Nnesha (nnesha):
hmm no \[10=-\frac{ 1 }{ 2 }(8)+b\] you can divide 8/2
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