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What is the slope of the line that is parallel to the y-axis and passes through the point (–1, 5)? –1 0 5 undefined
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1 vote
What is the slope of the line that is parallel to the y-axis and passes through the point (–1, 5)?

–1
0
5
undefined

User Offbeatmammal
by
5.8k points

2 Answers

5 votes
What is the slope of the line that is parallel to the y-axis and passes through the point (–1, 5)?

check the picture below.

the y-axis is a vertical line, thus any line parallel to it, will also be a vertical line, so, let's pick another point, hmmmmm say -1, 3, thus


\bf \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~ -1 &,& 5~) % (c,d) &&(~ -1 &,& 3~) \end{array} \\\\\\ % slope = m slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{3-5}{-1-(-1)}\implies \cfrac{3-5}{-1+1}\implies \stackrel{und efined}{\cfrac{-2}{0}}
What is the slope of the line that is parallel to the y-axis and passes through the-example-1
User Thiago Loddi
by
5.2k points
2 votes
undefined because the slop of the y axis is undefined
User Vlad Stratulat
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5.5k points
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