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Google Classroom
\newline
What is the slope of the line shown?
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Math Problems
Algebra 1
Rational functions: asymptotes and excluded values
Full solution
Q.
Google Classroom
\newline
What is the slope of the line shown?
Identify Points:
Identify two points on the line. Let's say the points are
(
x
1
,
y
1
)
(x_1, y_1)
(
x
1
,
y
1
)
and
(
x
2
,
y
2
)
(x_2, y_2)
(
x
2
,
y
2
)
.
Calculate Slope:
Use the slope formula
m
=
y
2
−
y
1
x
2
−
x
1
m = \frac{y_2 - y_1}{x_2 - x_1}
m
=
x
2
−
x
1
y
2
−
y
1
to calculate the slope.
Plug Coordinates:
Plug in the coordinates of the two points into the slope formula. If the points are
(
2
,
3
)
(2, 3)
(
2
,
3
)
and
(
4
,
7
)
(4, 7)
(
4
,
7
)
, then
m
=
7
−
3
4
−
2
m = \frac{7 - 3}{4 - 2}
m
=
4
−
2
7
−
3
.
Perform Subtraction:
Perform the subtraction in the numerator and the denominator.
m
=
4
2
m = \frac{4}{2}
m
=
2
4
.
Divide Numerator:
Divide the numerator by the denominator to get the slope.
m
=
2
1
m = \frac{2}{1}
m
=
1
2
.
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+
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−
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