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 ______.

Question

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 ______.

jasonmitchell · Answer

@563blackghost

Shadow · Answer

$$m = \frac{ y_{2} - y_{1} }{ x_{2} - x_{1} }$$

Shadow · Answer

Write out the slope as per the formula