Mathematics
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OpenStudy (anonymous):
passing through (4,4) and parallel to the line whose equation is 2x+y-7=0 slope intercept form
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OpenStudy (freckles):
parallel you should think same slope
OpenStudy (freckles):
You need to first find the slope of 2x+y-7=0
OpenStudy (freckles):
this will be the slope of the line you are trying to find.
OpenStudy (freckles):
You are also given a point on this other line that we want to find
that point being (4,4)
OpenStudy (freckles):
y-y1=m(x-x1)
so you have x1=4 and y1=4
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OpenStudy (freckles):
so you only have to find the slope of that line i talked about and replace the m in our other equation
OpenStudy (anonymous):
what happens to -7
OpenStudy (freckles):
put 2x+y-7=0 in y=mx+b form
this will give you information to obtain the slope of 2x+y-7=0
OpenStudy (anonymous):
okay but what happens to the -7 or can please take me step by step please
OpenStudy (gorv):
2x+y-7=0
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OpenStudy (gorv):
add 7 on both side and tell what u got ?
OpenStudy (anonymous):
2x+y=7
OpenStudy (gorv):
gud
OpenStudy (gorv):
now subtract 2x from both side and tell me what u got ?
OpenStudy (anonymous):
y=7-2x
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OpenStudy (gorv):
very good
OpenStudy (gorv):
y=-2x+7
OpenStudy (gorv):
so here it is in standard form
OpenStudy (gorv):
in standard form coefficient of x = slope
so slope =??
OpenStudy (anonymous):
2x
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OpenStudy (gorv):
coefficeint of x =-2=slope
OpenStudy (gorv):
parallel line will have the same slope
OpenStudy (gorv):
y=-2x+c
OpenStudy (gorv):
now it is passing through (4,4)....so put x=4 and y=4 in above equation and tell methe value of c u got ?
OpenStudy (anonymous):
y=2*(4)+4=12
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OpenStudy (gorv):
loll.....y=4 and x=4 u have to put why u put c=4??
OpenStudy (anonymous):
4=8+c
OpenStudy (gorv):
subtract 8 from both side
OpenStudy (anonymous):
-4=c
OpenStudy (gorv):
wait equation was
y=-2x+c
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OpenStudy (gorv):
4=-2*4+c
4=-8+c
OpenStudy (gorv):
add on each side
OpenStudy (gorv):
c=12
OpenStudy (gorv):
y=-2x+c
replace cby its value that will be your line
OpenStudy (anonymous):
okay thanks but how did we get rid of the 7 in the equation?
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OpenStudy (freckles):
you don't need the 7
OpenStudy (anonymous):
okay
OpenStudy (freckles):
we know parallel lines have the same slope and different y-intercept
OpenStudy (freckles):
there is nothing we can do with the y-intercept from that equation to determine the y-intercept of the other equation
OpenStudy (freckles):
well except that we know they should be different
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OpenStudy (anonymous):
okay thanks for the help