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Determine the intercepts of the line.
\newline
Do not round your answers.
\newline
−
4
x
+
7
y
=
3
-4x+7y=3
−
4
x
+
7
y
=
3
\newline
x-intercept:
\newline
(
□
,
□
)
(\square,\square)
(
□
,
□
)
\newline
y-intercept
:
\newline
(
□
,
□
)
(\square,\square)
(
□
,
□
)
View step-by-step help
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Math Problems
Algebra 1
Standard form: find x- and y-intercepts
Full solution
Q.
Determine the intercepts of the line.
\newline
Do not round your answers.
\newline
−
4
x
+
7
y
=
3
-4x+7y=3
−
4
x
+
7
y
=
3
\newline
x-intercept:
\newline
(
□
,
□
)
(\square,\square)
(
□
,
□
)
\newline
y-intercept:
\newline
(
□
,
□
)
(\square,\square)
(
□
,
□
)
Finding the x-intercept:
To find the x-intercept, we set
y
y
y
to
0
0
0
and solve for
x
x
x
.
−
4
x
+
7
(
0
)
=
3
-4x + 7(0) = 3
−
4
x
+
7
(
0
)
=
3
−
4
x
=
3
-4x = 3
−
4
x
=
3
x
=
3
−
4
x = \frac{3}{-4}
x
=
−
4
3
x
=
−
3
4
x = -\frac{3}{4}
x
=
−
4
3
The x-intercept is at
(
−
3
4
,
0
)
(-\frac{3}{4}, 0)
(
−
4
3
,
0
)
.
Finding the y-intercept:
To find the y-intercept, we set
x
x
x
to
0
0
0
and solve for
y
y
y
.
−
4
(
0
)
+
7
y
=
3
-4(0) + 7y = 3
−
4
(
0
)
+
7
y
=
3
7
y
=
3
7y = 3
7
y
=
3
y
=
3
7
y = \frac{3}{7}
y
=
7
3
The y-intercept is at
(
0
,
3
7
)
(0, \frac{3}{7})
(
0
,
7
3
)
.
More problems from Standard form: find x- and y-intercepts
Question
Does the point
(
0
,
4
)
(0, 4)
(
0
,
4
)
satisfy the equation
y
=
x
y = x
y
=
x
?
?
?
Get tutor help
Posted 5 months ago
Question
Find the slope of the line
y
=
−
4
x
+
2
5
y = -4x + \frac{2}{5}
y
=
−
4
x
+
5
2
.
Get tutor help
Posted 5 months ago
Question
Rewrite the following equation in slope-intercept form.
\newline
y
+
8
=
−
8
(
x
−
10
)
y + 8 = -8(x - 10)
y
+
8
=
−
8
(
x
−
10
)
Get tutor help
Posted 5 months ago
Question
Find the
y
y
y
-intercept of the line
14
x
−
16
y
=
−
10
14x - 16y = -10
14
x
−
16
y
=
−
10
.
\newline
Write your answer as an integer or decimal or fraction, not as an ordered pair.
Get tutor help
Posted 5 months ago
Question
Line
q
q
q
has a slope of
−
2
3
\frac{-2}{3}
3
−
2
. Line
r
r
r
is perpendicular to
q
q
q
. What is the slope of line
r
r
r
?
Get tutor help
Posted 5 months ago
Question
Find the slope of the line
y
+
3
=
−
1
18
(
x
+
6
)
y + 3 = -\frac{1}{18}(x + 6)
y
+
3
=
−
18
1
(
x
+
6
)
.
\newline
Get tutor help
Posted 5 months ago
Question
Line
p
p
p
has an equation of
y
=
−
8
x
+
6
y = -8x + 6
y
=
−
8
x
+
6
. Line
q
q
q
, which is perpendicular to line
p
p
p
, includes the point
(
2
,
−
2
)
(2, -2)
(
2
,
−
2
)
. What is the equation of line
q
q
q
?
?
?
\newline
Write the equation in slope-intercept form.
Get tutor help
Posted 5 months ago
Question
Is the graph of this equation a horizontal or vertical line?
\newline
x
=
7
x = 7
x
=
7
Get tutor help
Posted 5 months ago
Question
Determine the standard form of the following equation:
\newline
y
=
−
10
x
+
7
y = -10x + 7
y
=
−
10
x
+
7
Get tutor help
Posted 5 months ago
Question
A line with a slope of
9
9
9
passes through the point
(
9
,
9
)
(9,9)
(
9
,
9
)
. What is its equation in point-slope form?
Get tutor help
Posted 5 months ago
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