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Let’s check out your problem:
Find the
x
x
x
- and
y
y
y
-intercepts of the line
2
x
+
16
y
=
14
2 x+16 y=14
2
x
+
16
y
=
14
.
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Math Problems
Algebra 2
Rational functions: asymptotes and excluded values
Full solution
Q.
Find the
x
x
x
- and
y
y
y
-intercepts of the line
2
x
+
16
y
=
14
2 x+16 y=14
2
x
+
16
y
=
14
.
Find x-intercept:
To find the x-intercept, set
y
y
y
to
0
0
0
and solve for
x
x
x
.
2
x
+
16
(
0
)
=
14
2x + 16(0) = 14
2
x
+
16
(
0
)
=
14
2
x
=
14
2x = 14
2
x
=
14
x
=
14
2
x = \frac{14}{2}
x
=
2
14
x
=
7
x = 7
x
=
7
Find y-intercept:
To find the y-intercept, set
x
x
x
to
0
0
0
and solve for
y
y
y
.
\newline
2
(
0
)
+
16
y
=
14
2(0) + 16y = 14
2
(
0
)
+
16
y
=
14
\newline
16
y
=
14
16y = 14
16
y
=
14
\newline
y
=
14
16
y = \frac{14}{16}
y
=
16
14
\newline
y
=
7
8
y = \frac{7}{8}
y
=
8
7
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