Question

What is the equation of the line that passes through the point (3,-1) and is perpendicular to the equation y= -3x +2?

Answer 1

If the line is perpendicular to "y= -3x +2" its slope must be the opposite reciprocal of the -3. The opposite reciprocal of -3 is 1/3 so that is the slope of your line.

Now utilize y=mx+b and your point (3,-1) to find the y intercept.

-1=1/3(3)+b

b=-2

Equation: y=1/3x-2