2 Answers

Lanise · Answer 1 · 2019-03-04T07:18:23+0000

check the picture below.

any parallel line to y = 12, like the red one and the green one there, will have the same slope as y = 12, what is the that slope anyway?

well, let's pick any two points y = 12 passes by, hmmmmm say 2, 12 and 4, 12

$\bf \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~ 2 &,& 12~) % (c,d) &&(~ 4 &,& 12~) \end{array} \\\\\\ % slope = m slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{12-12}{4-2}\implies \cfrac{0}{2}\implies 0$

A line that is parallel to y=12 has slope m=-example-1

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