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Start with the given equation
Let's find the x-intercept
To find the x-intercept, let y=0 and solve for x:

Plug in

Simplify

Divide both sides by 3

Reduce
So the x-intercept is
)
(note: the x-intercept will always have a y-coordinate equal to zero)
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Start with the given equation
Now let's find the y-intercept
To find the y-intercept, let x=0 and solve for y:

Plug in

Simplify

Divide both sides by -5

Reduce
So the y-intercept is
)
(note: the y-intercept will always have a x-coordinate equal to zero)
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So we have these intercepts:
x-intercept:
y-intercept: