Question

Line WS is parallel to line KV. Line RT is perpendicular to line KV. Explain the relationship of line RT to line WS. Provide at least one reason to support your answer

Answer 1

The product of the slope of the line RT and WS is equal to -1 if the line WS is parallel to line KV. Line RT is perpendicular to line KV.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have line WS is parallel to line KV. Line RT is perpendicular to line KV.

Let's suppose the slope for the line WS is m1, for the slope for the line KV is m2, and for the line RT is m3.

We know if the two lines are parallel, their slope will be the same mathematically,

m1 = m2

And if the two lines are perpendicular to each other, their product of the slope will be -1

Because the slope is given by:

$\rm tan\theta = \dfrac{m_1-m_2}{1+m_1m_2}$

If parallel, then tanθ = 0

$\rm m_1 -m_2= 0\\m_1 =m_2$

If perpendicular, then $\rm tan\theta = \dfrac{1}{0}$

$\rm 1+m_1m_2 = 0\\m_1m_2 = -1$

Thus, the product of the slope of the line RT and WS is equal to -1 if the line WS is parallel to line KV. Line RT is perpendicular to line KV.

Learn more about the linear equation here:

brainly.com/question/11897796

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