Mathematics, 19.08.2019 23:30 jexvilla

Determine whether the following pairs of lines are parallel, perpendicular, or neither.
y=2x+1 2x+y=7

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In order to answer this one, you have to remember:

--> Parallel lines have equal slopes.

--> Perpendicular lines have negative reciprocal slopes.

(One slope = - [ 1/the other slope ]

The question gives us two lines:

#1). y = 2x + 1
#2). 2x + y = 7

The first equation is in nice slope-intercept form, and we can see
right away that the slope of its graph is 2 .

The second equation is not in slope-intercept form, so we need to
massage it slightly before we can spot the slope of its graph.

2x + y = 7

Subtract 2x from each side: y = -2x + 7 . <== slope-intercept form.
Slope = -2 .
Now we know both slopes.

#1). Slope = 2
#2). Slope = -2

Are the slopes equal ? I don't think so. 2 is not equal to -2 .
The lines are not parallel.

Are the slopes negative reciprocals ? I don't think so.
2 is not equal to -[ 1/(-2) ].
The lines are not perpendicular.

Answer from: Quest

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step-by-step explanation:

Answer from: Quest

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step-by-step explanation:

divided 3/4 and 6

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Determine whether the following pairs of lines are parallel, perpendicular, or neither.
y=2x+...

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