Answer:
-3
Step-by-step explanation:
Solve the equation for y to find the slope of the given line:
1/3x = -2 +y . . . . . divide by -3
y = 1/3x +2 . . . . . the slope is 1/3. (The slope is the coefficient of x.)
The perpendicular line will have a slope that is the negative reciprocal of this:
desired slope = -1/(1/3) = -3
The perpendicular line has a slope of -3.
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Comment on the solution
You may have noticed that when x and y are on opposite sides of the equal sign, the slope is the coefficient of x when the coefficient of y is 1. We don't actually need to move the constant in order to identify the slope of the given line.
