Question 328523
For the perpendicular line, I have to find the perpendicular slope.

Look at your equation.  Do you see -3 next to x? This is the slope of the given equation. 

However, the line we are searching must have a slope that is the negative reciprocal of -3.  What is the negative reciprocal of -3?

In other words, what fraction when multiplied by -3 will produce -1?

The negative reciprocal slope of the equation we want to find is 1/3 because -3 times 1/3 = -1.  

We now use the given point (4,2) and 1/3 in the point-slope formula.

y - y1 = m(x - x1)...his is the point-slope formula.

y - 2 = 1/3(x - 4)

y - 2 = (1/3)x - 4/3

y = (1/3)x - 4/3 + 2

y = (1/3)x + 2/3

Done!

NOTE: The equation y = (1/3)x + 2/3 can also be written as y = (x + 2)/3.  They both mean the same thing.