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 m₁ = m₂ nor m₁ × m₂ = -1

$\therefore$ The lines are neither parallel nor perpendicular.

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