Answer:
y = -1/3x + 7/3
Step-by-step explanation:
A line that is perpendicular to another line has the opposite reciprocal slope. That means we flip the slope of the original line and place a negative in front. Since the original slope is 3, the slope perpendicular is -1/3.
Now that we know the slope, and because they gave us a point on that line, we can create a line. Plug in the points and the slope into y = mx + b, to solve for b, the y-intercept.
3 = -1/3 (-2) + b
9/3 = 2/3 + b
7/3 = b
Now we can create a line in slope intercept form: y = -1/3x + 7/3
Here is Standard Form if needed: x + 3y = 7
