we conclude that the perpendicular line to y = 3x + 2 is the one in option C.
y = (-1/3)*x + 4
We know that two lines are perpendicular if and only if the slope of one of the lines is equal to the opposite of the inverse of the slope of the other line.
The line equation is:
y = a*x + b
Where a is the slope.
In our case:
y = 3*x + 2
The slope is 3.
Then a line perpendicular to the above one, must have a slope of -(1/3). By looking at the options, we can see that the only one with that slope is the one in option C, which is:
y = (-1/3)*x + 4
So we conclude that the correct option is C.
If you want to learn more about linear equations:
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