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Mathematics
Problem
A line passes through the points
(
2
,
−
1
)
(2,-1)
(
2
,
−
1
)
and
(
k
,
3
)
(k,3)
(
k
,
3
)
and is perpendicular to the line
3
x
+
2
y
−
6
=
0
3x+2y-6=0
3
x
+
2
y
−
6
=
0
. Which of the following is the equation of this line in slope–intercept form? a)
y
=
2
3
x
+
7
3
y=\dfrac{2}{3}x+\dfrac{7}{3}
y
=
3
2
x
+
3
7
b)
y
=
2
3
x
−
7
3
y=\dfrac{2}{3}x-\dfrac{7}{3}
y
=
3
2
x
−
3
7
c)
y
=
−
2
3
x
+
1
3
y=-\dfrac{2}{3}x+\dfrac{1}{3}
y
=
−
3
2
x
+
3
1
d)
y
=
3
2
x
−
7
3
y=\dfrac{3}{2}x-\dfrac{7}{3}
y
=
2
3
x
−
3
7
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