Question

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: try values

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: Select two points on a dotted - line

Let's take two points on one of the dotted lines, say $( - 8,0)$ and $( - 2,3)$.

Step3: Calculate slope of dotted line

$m_{dotted}=\frac{3 - 0}{-2-( - 8)}=\frac{3}{6}=\frac{1}{2}$

Step4: Select two points on line of reflection

For the line of reflection, we can take two points, say $( - 8, - 1)$ and $(2,4)$.

Step5: Calculate slope of line of reflection

$m_{reflection}=\frac{4-( - 1)}{2-( - 8)}=\frac{5}{10}=\frac{1}{2}$

Answer:

Slope of one of the dotted lines: $\frac{1}{2}$
Slope of the line of reflection: $\frac{1}{2}$