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=(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=(7-8)/(2-0) \\ m=-(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=(5-3)/(1-0) \\ m=(2)/(1) \\ m=2 \end{gathered}`Slope of Dotted Line(s): -1/2Slope of Reflection Line: 2