Answer:
Step-by-step explanation:
1. Calculate the slope for the line with points (-6,-1) and (1,7). Rise/Run, so take the difference between the two points for both x and y:
Change in x (the run) is 1 - (-6) = 7
Change in y (the rise) is 7 - (-1) = 8
The slope is rise/run so 8/7.
Any line of the form y=mx+b, where m is the slope, will be parallel to this line if it has the same slope: y = (8/7)x + whatever.
Any line in the same format with be perpendicular if the slope is the negative inverse of the reference line. In this case the perpendicular slope would be (-7/8). y = (-7/8)x + whomever.
