text: find the slope of any line parallel to the line through points (-2,3) and (4,5)?   slope is based on rise (y) over run (x)...  the equation specifically is (y2-y1) divided by (x2-x1) so...  (5-3)=2 divided by (4--2)=6 equaling 1/3  since the lines are parallel to this equation, they will all have the same slope of 1/3 with different y-intercepts!  if you were finding the perpendicular you would find the negative inverse, which would be -3 slope for these points!