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