Answer:
y
=
5
x
Explanation:
given
y
∝
x
then
y
=
k
x
←
equation for direct variation
where k is the constant of variation
to find k use the given coordinate point
(
2
,
10
)
y
=
k
x
⇒
k
=
y
x
=
10
2
=
5
equation is
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
∣
∣
∣
2
2
y
=
5
x
2
2
∣
∣
∣
−−−−−−−−−−−
y
=
5
x
has the form
y
=
m
x
←
m is the slope
⇒
y
=
5
x
is a straight line passing through the origin
with slope m = 5
graph{5x [-10, 10, -5, 5]}