Answer:
y = 1/3x -3
Explanation:
You want an equation for the line through (3, -2) that is perpendicular to y = -3x +3.
Slope
The slope of the given line is the coefficient of x: -3.
The slope of the perpendicular line is the opposite reciprocal of this:
-1/(-3) = 1/3
Equation
The point-slope equation of the perpendicular line is ...
y -k = m(x -h) . . . . . . line through (h, k) with slope m
y +2 = 1/3(x -3) . . . . . line through (3, -2) with slope 1/3
Rearranging, we can put this in slope-intercept form:
y = 1/3x -1 -2
y = 1/3x -3 . . . . . equation of the perpendicular line
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