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Mathematics 21 Online
OpenStudy (anonymous):

When I plot these points, they are neither parallel or perpendicular. The slopes are WX (2) and YZ (-2). What am I doing wrong? Line WX contains (−1, 2) and (4, 12) Line YZ contains points (−5, 8) and (2, −6). Lines WX and YZ are perpendicular because the slopes are the same parallel because the product of the slopes is −1 perpendicular because the product of the slopes is −1 parallel because the slopes are the same

OpenStudy (jdoe0001):

is not supposed to be the points per se, is supposed to be the lines they make :S

OpenStudy (anonymous):

I know. Sorry, that's what I meant.

OpenStudy (anonymous):

By plot, I meant I plotted and connected them to their respective lines. That's how I got the slope.

OpenStudy (jdoe0001):

ohh

OpenStudy (anonymous):

The create two ~53degree angles and two ~126degree angles.

OpenStudy (anonymous):

Which obviously is neither parallel or perpendicular.

OpenStudy (jdoe0001):

well, you're correct, they don't, but that depends on your plotting "scale factor" for each axis, they won't if the scale of the y-axis and x-axis is one to one

OpenStudy (jdoe0001):

for the graphing board that is

OpenStudy (anonymous):

I don't understand.

OpenStudy (jdoe0001):

lemme get the equatins and plot them, so I can show you

OpenStudy (anonymous):

Oh, real quick, if is straight up and down, it's slope is undefined right? And horizontal is a slope of zero

OpenStudy (jdoe0001):

yes

OpenStudy (jdoe0001):

well, dohh, they're not supposed to be perpendicular :S

OpenStudy (jdoe0001):

darn, my bad, I guess it skipped me for a sec

OpenStudy (jdoe0001):

anyhow, perpendicular lines have NEGATIVE RECIPROCAL slopes what you have there are just negative version of the positive so x is increasing from left to right -x is decreasing from left to right

OpenStudy (jdoe0001):

a perpendicular line to a slope of 2 line will be one with -1/2, negative reciprocal

OpenStudy (jdoe0001):

so -2 is just the "decreasing" version of "2"

OpenStudy (anonymous):

In order to make the line perpendicular, it would have to have a slope of -1/2 not -2.

OpenStudy (anonymous):

Besides, none of the answers fit. The slopes are not the same. The sum of the slopes is 0.

OpenStudy (anonymous):

Any ideas? @Lagoonabarbie

OpenStudy (anonymous):

@ababylizard When I plot the points on paper, I got this..

OpenStudy (anonymous):

Showing they do intersect perpendicularly, and The slope is -2 for one, and 2 for the other

OpenStudy (anonymous):

In order for lines to intersect perpendicularly, they need to be negative reciprocals of one another.

OpenStudy (anonymous):

For 2, it has to be -1/2

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