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y=-3x+6. Find the inverse and graph it
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can you solve \[-3x+6=10\]?
-3x=4
then?
4/-3
right steps were a) subtract 6 and then b) divide by \(-3\) right?
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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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