Use the slope-intercept form to find the slope.
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The slope-intercept form is
y
=
m
x
+
b
where m is the slope and b is the y-intercept.
y
=
m
x
+
b
Using the slope-intercept form the slope is
−
4
.
m
=
−
4
To find an equation that is parallel to
y
=
−
4
x
+
2
the slopes must be equal. Using the slope of the equation, find the parallel line using the point-slope formula.
(
−
2
,
5
)
m
=
−
4
Using the point-slope form
y
−
y
1
=
m
(
x
−
x
1
)
plug in
m
=
−
4
, x
1
=
−
2
and
y
1
=
5
.
y
−
(
5
)
=
(
−
4
)
(
x
−
(
−
2
)
)
Solve for
y
.
Multiply
−
1 by 5
.
y
−
5
=
(
−
4
)
(
x
−
(
−
2
)
)
Simplify
(
−
4
)
(
x
−
(
−
2
)
)
.
Multiply
−
1 by −
2
.
y
−
5
=
−
4
(
x
+
2
)
Apply the distributive property.
y
−
5
=
−
4
x
−
4
⋅
2
Multiply −
4 by 2
.
y
−
5
=
−
4
x
−
8
Move all terms not containing
y to the right side of the equation.
Add
5
to both sides of the equation.
y
=
−
4
x
−
8
+
5 Add −
8 and 5
.
y
=
−
4
x
−
3
HOPE THIS HELPED!
