Question

follow the guided instructions below to create the line of reflection that would map the pink figure onto the blue figure. now write the slope of the line of reflection and any dotted line. slope of one of the dotted lines: slope of the line of reflection:

Explanation:

Step1: Recall slope formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$, where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line.

Step2: Identify points on dotted line

Let's assume two points on a dotted - line: say $(x_1,y_1)=( - 2,0)$ and $(x_2,y_2)=( - 1, - 1)$.

Step3: Calculate slope of dotted line

$m_1=\frac{-1 - 0}{-1-( - 2)}=\frac{-1}{1}=-1$.

Step4: Identify points on line of reflection

Let's assume two points on the line of reflection: say $(x_1,y_1)=(0,0)$ and $(x_2,y_2)=(3,-3)$.

Step5: Calculate slope of line of reflection

$m_2=\frac{-3 - 0}{3 - 0}=\frac{-3}{3}=-1$.

Answer:

Slope of one of the dotted lines: $-1$
Slope of the line of reflection: $-1$