Consider the line =y−−72x.What is the slope of a line perpendicular to this line?What is the slope of a line parallel to this line?Slopeofaperpendicularline: Slopeofaparallelline:

To find the slope of a line perpendicular to the given line, we need to find the negative reciprocal of the slope of the given line.

The given line is in the form y = mx + b, where m is the slope. In this case, the slope of the given line is -7/2.

To find the negative reciprocal, we flip the fraction and change the sign. So, the negative reciprocal of -7/2 is 2/7.

Therefore, the slope of a line perpendicular to the given line is 2/7.

To find the slope of a line parallel to the given line, we simply use the same slope as the given line.

Therefore, the slope of a line parallel to the given line is -7/2.