Need help with slope of one of the dots and slope of line of reflection

Question

asked Apr 2, 2024 95.3k views

1 Answer

Libin Varghese · Answer 1 · 2024-04-07T08:02:17+0000

Dotted Line:
(1)/(2)

Line of Reflection: -2

To answer this question, we can use the slope formula for both. This finds the change in y over the change in x.

A dotted line:

$\displaystyle (y_(2) -y_(1) )/(x_(2) -x_(1) ) =(9-7)/(2--2) =(2)/(2+2) =(2)/(4) =(1)/(2)$

Line of reflection:

$\displaystyle (y_(2) -y_(1) )/(x_(2) -x_(1) )=(7-5)/(-2--1)=(2)/(-2+1)=(2)/(-1) =-2$