Given that the line Ax+By+10=0 is parallel to the line 3x+y=7 and meets the line x+4=7 on the x-axis, find the value of A and B..??
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OpenStudy (anonymous):
How do i do this??
OpenStudy (anonymous):
@mathmate @jim_thompson5910
OpenStudy (anonymous):
do u know??
OpenStudy (jackthegreatest):
maybe...
OpenStudy (jackthegreatest):
since the lines r parallel, the slope is -3
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OpenStudy (jackthegreatest):
so A is 3
OpenStudy (anonymous):
wait how A=3
OpenStudy (jackthegreatest):
because the line is parallel to 3x + y= 7
parallel lines have the same slope
OpenStudy (jackthegreatest):
B is 1
OpenStudy (jackthegreatest):
so a=3 and b = 1
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OpenStudy (jackthegreatest):
there r ur answers : )
OpenStudy (anonymous):
r u sure??
OpenStudy (jackthegreatest):
yes i am sure, of course i am
OpenStudy (anonymous):
@jim_thompson5910
jimthompson5910 (jim_thompson5910):
jackthegreatest is correct
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OpenStudy (anonymous):
so we take the slope and use it for A?
jimthompson5910 (jim_thompson5910):
Anything parallel to Ax+By+10=0 will be of the form Ax+By = C where C is some fixed number
Using numbers
anything parallel to 3x+y=7 will be in the form 3x+y = C
OpenStudy (anonymous):
ok and since y=1 we use that for B?
jimthompson5910 (jim_thompson5910):
the coefficient for y is 1, yes
OpenStudy (anonymous):
ok
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OpenStudy (anonymous):
so if we had 4x+5y=7
then A=4 and B=5?
jimthompson5910 (jim_thompson5910):
yeah because the left side of a standard form equation stays the same when you have parallel lines
OpenStudy (anonymous):
ok thank u both.. @jackthegreatest and @jim_thompson5910