Answer:
y = 3x +5
Step-by-step explanation:
The equation of a perpendicular line can be formed by swapping the x- and y-coefficients, and negating one of them. The constant in the equation will be chosen to make the equation true at the given point.
Coefficients swapped
The desired equation in the given standard form will be ...
3x -y = c . . . . . . for some new constant c
Note that we have kept the x-coefficient positive, and have negated the y-coefficient.
Constant value
The new constant will make the equation true at the point (-1, 2):
3(-1) -(2) = c = -5
So, the standard-form equation is ...
3x -y = -5
Slope-intercept form
The answer form suggests you want to solve this for y. Adding y+5 to both sides will give the form you want:
3x -y +(y+5) = -5 +(y+5)
3x +5 = y
y = 3x +5
