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,
[tex]m_1\times m_2=-1[/tex]
where [tex]m_1[/tex] is the slope of the line AD and [tex]m_2[/tex] is the slope of BC.
[tex]m_2=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]=\frac{8+2}{3-7}[/tex]
[tex]=-\frac{5}{2}[/tex]
Now from the given property,
[tex]m_1\times (-\frac{2}{5})=-1[/tex]
[tex]m_1=\frac{5}{2}[/tex]
Therefore, slope of altitude BC = [tex]\frac{5}{2}[/tex]
Option (C) will be the answer.
