Consider the line y= -(5/3)x+2.

find the equation of the line that is perpendicular to this line and passes through the point (6,3).

find the equation of the line that is parallel to this line and passes through the point (6,3).

1. Perpendicular means that the slope is the negative reciprocal.
Negative reciprocal of -5/3=3/5

Use point slope form.
y-3=3/5(x-6)
y-3=3/5x-18/5
y=3/5x-3/5

2. Parallel means that the slope is the exact same.

Use point slope form.
y-3=-5/3(x-6)
y-3=-5/3x+10
y=-5/3x+13

Hope this helps!