The graph of 9y = 18 is a line:
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Step-by-step explanation:
We can simplify the equation by multiplying through by - 1
⇒
3
x
+
9
y
=
18
To find the x-intercept substitute y = 0 into the equation and solve for x
3
x
+
(
9
×
0
)
=
18
⇒
3
x
=
18
⇒
x
=
6
⇒
x
=
6
←
is the x-intercept
To find the y-intercept substitute x = 0 into the equation and solve for y
(
3
×
0
)
+
9
y
=
18
⇒
9
y
=
18
⇒
y
=
2
⇒
y
=
2
is the y-intercept
Plot the points (0 ,2) and (6 ,0), draw a straight line through them and you have the graph.
graph{-1/3x+2 [-10, 10, -5, 5]}
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