What is the equation of the line that is perpendicular to y= -3x+1 that passes through the point (9,0)?

Question

I need help on this one really bad. please help me with this

Answer 1

The slope of the line with equation y = -3x + 1 is -3.

So, the slope of any line perpendicular to the given line is the negative reciprocal of -3, which is 1/3.

Equation of perpendicular line is y - 0 = (1/3)(x - 9)

Simplify to get y = (1/3)x - 3