State whether the two lines in the following are parallel, perpen… - Vidyadip

Question

State whether the two lines in the following are parallel, perpendicular or neither.
Through $(3, 15)$ and $(16, 6)$; through $(-5, 3)$ and $(8, 2)$

✓

Answer

Slope of line joining $(3, 15)$ and $(16, 6)$ $\text{m}_1=\frac{6-5}{16-3}=\frac{-9}{13}$ Slope of the line joining $(-5, 3)$ and $(8, 2)$f$\text{m}_2=\frac{2-3}{8-(-5)}=\frac{-1}{13}$
Here, neither $m_1 = m_2$ nor $m_1 \times m_2 = -1$
$\therefore$ The lines are neither parallel nor perpendicular.

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