Answer:
y=
4
x
Step-by-step explanation:
y
=4x
−
7
Choose a point that the parallel line will pass through.
(0
,
0
)
Use the slope-intercept form to find the slope.
Tap for fewer steps...
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
−
7
, the slopes must be equal. Using the slope of the equation, find the parallel line using the point-slope formula.
(
0
,
0
)
m
=
4
Using the point-slope form
y
−
y
1
=
m
(
x
−x
1
)
, plug in m
=
4
, x
1
=
0
, and y
1
=
0
.
y
−
(
0
)
=
(
4
)(
x
−
(
0
)
)
Solve for y.
Subtract 0 from y
.
y
=
(
4
)
(
x
−
(
0
)
)
Subtract 0 from x
.
y=
4
x
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