What are the intercepts of the line 5x+y=20 ?
A.
x- intercept:4 ; y^1 intercept: 30
B.
x- intercept: ; y^1 intercept: -4
C.
x- intercept: ; y^1 intercept: -20
D.
x- intercept: -20 ; y-intercept: -4
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OpenStudy (anonymous):
@rebeccaxhawaii
OpenStudy (anonymous):
@YoungStudier
OpenStudy (wwb00):
first convert into y=mx+b form
OpenStudy (wwb00):
to do this, you must subtract the y from both sides, then subtract the 20 from both sides.
OpenStudy (anonymous):
from what sides?
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OpenStudy (wwb00):
\[5x+y=20\]
\[5x+y-20=0\]
OpenStudy (wwb00):
\[5x-20=y\]
\[y=5x-20\]
OpenStudy (wwb00):
substitute 0 for x to find the x intercept, then substitute 0 for y to find the y intercept.
OpenStudy (anonymous):
mm how do i find x?
OpenStudy (wwb00):
so if you put 0 in for x,
\[y=5(0)-20\]
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OpenStudy (wwb00):
that means the x intercept will be at -20.
\[y=-20\]
OpenStudy (wwb00):
to find the y intercept, repeat the same process for y, but with a bit more work.
OpenStudy (wwb00):
\[0=5x-20\]
OpenStudy (wwb00):
\[20=5x\]
OpenStudy (wwb00):
dividing by 5,
\[4=x\]
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OpenStudy (wwb00):
the y intercept is at x=4
OpenStudy (wwb00):
so sorry!
OpenStudy (wwb00):
I gave you the wrong equation for the line in mx+b (standard equation)
OpenStudy (anonymous):
woops sorry restroom
OpenStudy (wwb00):
ok
bear with me.
all you have to do is to subsitiute 0 for x to find the x intercept, and 0 for y to find the y intercept.
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OpenStudy (wwb00):
forget finding the standard form. this is the easiest way.
\[5(0)+y=20\]
OpenStudy (wwb00):
\[y=20\]
OpenStudy (wwb00):
that is the x intercept.
OpenStudy (anonymous):
you mean -20?
OpenStudy (wwb00):
what are the x intercepts for b and c?
I earlier stated incorrectly both the x and y intercepts.
\[5x+1(0)=20\]
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OpenStudy (wwb00):
substiuting 0 for y.
\[5x=20\]
dividing by 5
\[x=4\]
I'm not getting the proper solutions.
OpenStudy (anonymous):
ok.
OpenStudy (wwb00):
wait one second.
OpenStudy (anonymous):
brb
OpenStudy (anonymous):
back
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OpenStudy (wwb00):
neither of the listed solutions are correct.
OpenStudy (wwb00):
the intercepts are at y=20 and x=4.
OpenStudy (wwb00):
I'll show you the graph.
OpenStudy (wwb00):
OpenStudy (anonymous):
lets get rid of the ones that are wrong starting from A.ok?
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OpenStudy (wwb00):
ok
OpenStudy (wwb00):
the y intercept can not be at 30. It must be at 20 as when x =0, y=20, thus A must be wrong.
OpenStudy (anonymous):
okay... b is next
OpenStudy (wwb00):
B. the y intercept can not be -4, as it is 20. Please look at the file I sent.
C. The y intercept can not be -20, as it is positive 20.
D. The y intercept can not be at -4, as it is at 20.
Also, I do not see intercepts for x on B and C.
Is this of the question?
OpenStudy (anonymous):
yeah
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OpenStudy (wwb00):
so they are meant not to have an intercept?
OpenStudy (wwb00):
like if it were a horizontal line.
OpenStudy (anonymous):
wait on b x is 20
and on c x is -4
OpenStudy (anonymous):
my bad lol i left that out
OpenStudy (anonymous):
does that help?lol
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OpenStudy (anonymous):
hello?
OpenStudy (wwb00):
so sorry.
OpenStudy (wwb00):
busy for a sec.
OpenStudy (anonymous):
itz kewl
OpenStudy (wwb00):
are you sure the intercept for A is y=30?
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OpenStudy (anonymous):
noooooo its 20! im so sorry lol
OpenStudy (wwb00):
great. Its A then.
OpenStudy (wwb00):
Good luck on the rest of your HW.
OpenStudy (anonymous):
yay!thanks for the help sorry i put you through all dat xD