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QUESTION IMAGE

now write the slope of the line of reflection and any dotted line. slop…

Question

now write the slope of the line of reflection and any dotted line. slope of one of the dotted lines: $\frac{2}{-1}$ slope of the line of reflection: blank try values

Explanation:

Step1: Recall slope - perpendicular relationship

If two lines are perpendicular, the product of their slopes is - 1. Let the slope of the dotted line be $m_1=\frac{2}{-1}=-2$. Let the slope of the line of reflection be $m_2$.

Step2: Use the perpendicular - slope formula

We know that $m_1\times m_2=-1$. Substitute $m_1 = - 2$ into the formula: $-2\times m_2=-1$.

Step3: Solve for $m_2$

Dividing both sides of the equation $-2\times m_2=-1$ by - 2, we get $m_2=\frac{1}{2}$.

Answer:

$\frac{1}{2}$