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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)

Answer 1

Eva Abramson

#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

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Answer 2

Nathan Axel

The slope of Line 1 is -10, and the slope of Line 2 is -10/3. Since the slopes of Line 1 and Line 2 are equal, the lines are parallel.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.