Find the slope of the line 1 and line 2. Is each pair of lines parallel, parpendicular, or neither? Line 1: passes through (0,6)and (3,-24) Line 2: passes through (-1,19) and (8,-71)

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Answer 1 · 2018-04-02T17:53:14

$m_12=-10$

$m_34=-10$

Hence, the lines are parallel

$(x_1,y_1)-=(0,6)$

$(x_2,y_2)-=(3,-24)$

Slope
$m_12=(y_2-y_1)/(x_2-x_1)=(-24-6)/(3-0)=-30/3=-10$

$(x_3,y_3)-=(-1,19)$

$(x_4,y_4)-=(8,-71)$

Slope
$m_34=(y_4-y_3)/(x_4-x_3)=(-71-19)/(8-(-1))=-90/9=-10$

$m_12=-10$

$m_34=-10$

Hence, the lines are parallel