What is the equation of the line perpendicular to y = = x+ 3 passing through the point (-3,4)?

y = 3x + b

Step-by-step explanation:

The slope of y=mx+3 that passes through (-3,4) is found like this:

1. Substitute the y and x values in (4 = m*(-3) + 3).

2. Simplify by subtracting 3 from each side (1 = m*(-3)).

3. Simplify by dividing each side by -3 (-1/3 = m).

Since the slope of perpendicular lines are negative reciprocals, the slope of the perpendicular line is 3.  The y-intercept can be anything and it will still be perpendicular.