Question

If AD is the altitude to BC, what is the slope of AD?

Answer 1

Answer:

Option (C)

Step-by-step explanation:

If AD is the altitude to BC, both the segments AD and BC will be perpendicular to each other.

By the property of perpendicular lines,

$m_1\times m_2=-1$

where $m_1$ is the slope of the line AD and $m_2$ is the slope of BC.

$m_2=\frac{y_2-y_1}{x_2-x_1}$

     $=\frac{8+2}{3-7}$

     $=-\frac{5}{2}$

Now from the given property,

$m_1\times (-\frac{2}{5})=-1$

$m_1=\frac{5}{2}$

Therefore, slope of altitude BC = $\frac{5}{2}$

Option (C) will be the answer.