Answer:
(
0
,
)
2
−
6
Use
y
=
m
x
+
b
to calculate the equation of the line, where
represents the slope and
represents the y-intercept.
To calculate the equation of the line, use the
format.
Slope is equal to the change in
over the change in
, or rise over run.
change in y
change in x
The change in
is equal to the difference in x-coordinates (also called run), and the change in
is equal to the difference in y-coordinates (also called rise).
1
Substitute in the values of
and
into the equation to find the slope.
Finding the slope
.
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Simplify the numerator.
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Simplify the denominator.
Divide
by
3
Find the value of
using the formula for the equation of a line.
Use the formula for the equation of a line to find
Substitute the value of
into the equation.
⋅
Now that the values of
(slope) and
(y-intercept) are known, substitute them into
to find the equation of the line.
Step-by-step explanation:
is this many?
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Answers & Comments
Answer:
(
0
,
0
)
,
(
2
,
−
6
)
Use
y
=
m
x
+
b
to calculate the equation of the line, where
m
represents the slope and
b
represents the y-intercept.
To calculate the equation of the line, use the
y
=
m
x
+
b
format.
Slope is equal to the change in
y
over the change in
x
, or rise over run.
m
=
(
change in y
)
(
change in x
)
The change in
x
is equal to the difference in x-coordinates (also called run), and the change in
y
is equal to the difference in y-coordinates (also called rise).
m
=
y
2
−
y
1
x
2
−
x
1
Substitute in the values of
x
and
y
into the equation to find the slope.
m
=
−
6
−
(
0
)
2
−
(
0
)
Finding the slope
m
.
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Simplify the numerator.
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m
=
−
6
2
−
(
0
)
Simplify the denominator.
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m
=
−
6
2
Divide
−
6
by
2
.
m
=
−
3
Find the value of
b
using the formula for the equation of a line.
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Use the formula for the equation of a line to find
b
.
y
=
m
x
+
b
Substitute the value of
m
into the equation.
y
=
(
−
3
)
⋅
x
+
b
Substitute the value of
x
into the equation.
y
=
(
−
3
)
⋅
(
0
)
+
b
Substitute the value of
y
into the equation.
0
=
(
−
3
)
⋅
(
0
)
+
b
Find the value of
b
.
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b
=
0
Now that the values of
m
(slope) and
b
(y-intercept) are known, substitute them into
y
=
m
x
+
b
to find the equation of the line.
y
=
−
3
x
Step-by-step explanation:
is this many?