Question

slope of the doted lines:slope of the reflection line:thank you so much :D

Answer 1

To find slope, we can use the formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

Where

$\begin{gathered} (x_1,y_1) \\ \text{and} \\ (x_2,y_2) \end{gathered}$

are the 2 points the line goes through.

All the 3 dotted lines have the same slope. We can use any of the dotted lines. Let's use the top-most one.

The 2 point it passes through are:

(0,8) and (2,7)

Thus, the slope would be:

$\begin{gathered} m=\frac{7-8}{2-0} \\ m=-\frac{1}{2} \end{gathered}$

To find the slope of reflection line, we take 2 points on the line and follow the same process.

The two points on the reflection line are:

(0,3) and (1,5)

Thus, the slope would be:

$\begin{gathered} m=\frac{5-3}{1-0} \\ m=\frac{2}{1} \\ m=2 \end{gathered}$Slope of Dotted Line(s): -1/2Slope of Reflection Line: 2