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Mathematics
Mathematics
Problem
Let
ℓ
1
\ell_1
ℓ
1
and
ℓ
2
\ell_2
ℓ
2
be the lines with equations
4
x
−
3
y
=
−
2
4x - 3y = -2
4
x
−
3
y
=
−
2
and
12
x
−
5
y
=
2
12x - 5y = 2
12
x
−
5
y
=
2
, respectively. Find the equation of the line that bisects the acute angles formed by
ℓ
1
\ell_1
ℓ
1
and
ℓ
2
\ell_2
ℓ
2
. Give your answer in the form
y
=
m
x
+
b
y = mx + b
y
=
m
x
+
b
.
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