Answer:
The slope of one of the dotted lines: -1
The slope of the reflection line: 1
Explanation:
The slope of a line that passes through two points (x1, y1) and (x2, y2) can be calculated as:
[tex]m=\frac{\text{Rise}}{\text{Run}}=\frac{y_2-y_1}{x_2-x_1}[/tex]
Therefore, the slope of the dotted line that passes through the points (-1, 2) and (5, -4) is:
[tex]m=\frac{-4-2}{5-(-1)}=\frac{-6}{5+1}=-\frac{6}{6}=-1[/tex]
So, the slope of one of the dotted lines is -1
In the same, we can calculate the slope of the reflection line, replacing (x1, y1) by (2, -1) and (x2, y2) by (0, -3), so:
[tex]m=\frac{-3-(-1)}{0-2}=\frac{-3+1}{-2}=\frac{-2}{-2}=1[/tex]
So, the slope of the reflection line is 1.
