Cydney is proving that perpendicular lines have slopes that are opposite reciprocals. she draws line p and labels two points on the line as (0, a) and (b, 0) .

enter the answers, in simplest form, in the boxes to complete the proof.

the slope of line p is
. rotate line p 90° counterclockwise about the origin to get line q. the labeled points on line p map to (−a, 0) and (
,
) on line q. the slope of line q is
. the slopes of the lines are opposite reciprocals because the product of the slopes is
.