Determine the slope of line 3x+5y-10=0, what is the slope of the line parallel to the line, what is the slope of a line perpendicular to the line

Question

I need to know the process to obtain the answers

Answer 1

Standardise the form to y=mx+b: 5y=10-3x; y=(-3/5)x+2. So m, the slope, is -3/5, and and line parallel to it has the same slope. A line perpendicular to it has the inverse slope, which is -1/m=5/3.