Choose the equation of the line passing through the point (-1, 7) and perpendicular to y = -negative one fourthx - 5.
y = -4x - 11
y = -4x - 3
y = 4x + 11
y = 4x + 3
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OpenStudy (shamil98):
Perpendicular lines have inverse slopes.
what is the inverse of negative one over four? (-1/4)
undeadknight26 (undeadknight26):
1/-4?
OpenStudy (shamil98):
no. the inverse is the complete opposite for example.
the inverse of +3 is
-(1/3)
so the inverse of -(1/4) is?
undeadknight26 (undeadknight26):
+(1/4)?
OpenStudy (shamil98):
no.
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OpenStudy (shamil98):
The inverse of 3 is -1/3
so based of this the inverse of -1/4 is??
OpenStudy (shamil98):
the inverse of -1/3 is also 3. btw.
undeadknight26 (undeadknight26):
4 oh i get it...
OpenStudy (shamil98):
Yes.
OpenStudy (shamil98):
Now plug in those coordinates (-1,7) and your slope of 4
into
y=mx + b
and solve for b.
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OpenStudy (shamil98):
7 = 4(-1) + b
undeadknight26 (undeadknight26):
+1 to both sides
7 = 4(-1) + b
+1 +1
8 = 4 + b
-4 -4
4 = b?
OpenStudy (shamil98):
No.
OpenStudy (shamil98):
4(-1) = 4 x -1 ..
OpenStudy (shamil98):
7 = -4 + b
does that help?
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undeadknight26 (undeadknight26):
yes...
so b = 11?
OpenStudy (shamil98):
yes.
know put everything together you have b = 11, m = 4
y = mx + b