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Let’s check out your problem:
Find the equation of a line whose
slope
is
−
4
/
5
-4 / 5
−
4/5
and whose
y
y
y
-intercept is
(
0
,
7
)
(0,7)
(
0
,
7
)
.
\newline
□
\square
□
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Math Problems
Algebra 1
Slope-intercept form: write an equation
Full solution
Q.
Find the equation of a line whose slope is
−
4
/
5
-4 / 5
−
4/5
and whose
y
y
y
-intercept is
(
0
,
7
)
(0,7)
(
0
,
7
)
.
\newline
□
\square
□
Definition of Slope-intercept form:
Slope-intercept form
is
y
=
m
x
+
b
y = mx + b
y
=
m
x
+
b
, where
m
m
m
is the slope and
b
b
b
is the
y
y
y
-intercept.
Given values for slope and y-intercept:
We have the slope
m
m
m
as
−
4
5
-\frac{4}{5}
−
5
4
and the
y-intercept
b
b
b
as
7
7
7
.
Substitute values into equation:
Substitute
−
4
5
-\frac{4}{5}
−
5
4
for
m
m
m
and
7
7
7
for
b
b
b
into the slope-intercept form equation.
\newline
y
=
(
−
4
5
)
x
+
7
y = \left(-\frac{4}{5}\right)x + 7
y
=
(
−
5
4
)
x
+
7
More problems from Slope-intercept form: write an equation
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
.
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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
?
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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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