Determine whether the following lines are parallel, perpendicular or neither. Line one passes through (7,-2) and (5,4). Line two is the line presented by x-3y=10

Question

I'm not sure where to start to determine how to graph these to tell how they fall.

Answer 1

Line 1:

Slope = (4+2)/(5-7) = -3

Line 2:

x-3y=10

3y = x-10

y=(x/3)-10/3

These 2 lines are perpendicular because the slope of the one is the negative reciprocal of the slope of the other.