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Mathematics
Problem
Determine the equation of the tangent line to the curve
x
2
+
x
y
+
y
2
=
7
x^{2}+xy+y^{2}=7
x
2
+
x
y
+
y
2
=
7
at the point
(
2
,
1
)
(2,1)
(
2
,
1
)
. a)
y
=
−
5
3
x
+
13
3
y=-\dfrac{5}{3}x+\dfrac{13}{3}
y
=
−
3
5
x
+
3
13
b)
y
=
5
4
x
−
3
2
y=\dfrac{5}{4}x-\dfrac{3}{2}
y
=
4
5
x
−
2
3
c)
y
=
−
5
4
x
+
7
2
y=-\dfrac{5}{4}x+\dfrac{7}{2}
y
=
−
4
5
x
+
2
7
d)
y
=
−
4
5
x
+
7
2
y=-\dfrac{4}{5}x+\dfrac{7}{2}
y
=
−
5
4
x
+
2
7
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