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)

1 Answer

m_12=-10

m_34=-10

Hence, the lines are parallel

Explanation:

(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