Respuesta :
Answer: y=2/3x+5
Step-by-step explanation:y
=
2
3
x
+
5
Using the slope-intercept form, the slope is
2
3
.
m
=
2
3
To find an equation that is parallel to
y
=
2
3
x
+
5
, the slopes must be equal. Using the slope of the equation, find the parallel line using the point-slope formula.
(
0
,
0
)
m
=
2
3
Using the point-slope form
y
−
y
1
=
m
(
x
−
x
1
)
, plug in
m
=
2
3
,
x
1
=
0
, and
y
1
=
0
.
y
−
(
0
)
=
(
2
3
)
(
x
−
(
0
)
)
Solve for
y
.
y
=
2
3
x
