y=-3x+6. Find the inverse and graph it

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y=-3x+6. Find the inverse and graph it

Algebra
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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can you solve \[-3x+6=10\]?
-3x=4
then?

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Other answers:

4/-3
right steps were a) subtract 6 and then b) divide by \(-3\) right?
that is what the inverse does, subtract 6, divide by -3
that makes the inverse \[y=\frac{x-6}{-3}\]
or if you prefer \[y=-\frac{1}{3}x+2\] either way
you can always find the inverse by switching x and y and solving for y i.e. starting with \[y=-3x+6\] switch to get \[x=-3y+6\] solve for \(y\)\[x=-3y+6\\ x-6=-3y\\ \frac{x-6}{-3}=y\]
How do u graph that? By plugging in variables?

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