Consider the line =y+−14x1.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 is -14.

To find the negative reciprocal, we take the reciprocal of -14, which is -1/14, and then change the sign to get 1/14. Therefore, the slope of a line perpendicular to the given line is 1/14.

To find the slope of a line parallel to the given line, we simply take the same slope as the given line. Therefore, the slope of a line parallel to the given line is -14.