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 (9, 5) and (-1, 1); through (3, -5) and (8, -3)

✓

Answer

Slope of line joining (-1, 1) and (9, 5)
$\text{m}_1=\frac{5-1}{9-(-1)}=\frac{4}{10}=\frac{2}{5}$
Slope of line joining (3, -5) and (9, 5)
$\text{m}_2=\frac{-3-(-5)}{8-3}=\frac{-3+5}{5}=\frac{2}{5}$
Here m₁ = m₂
$\therefore$ The two lines are parallel.

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