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Determine whether the graphs of y = 2x + 4 and x + 2y = 6 are parallel, perpendicular or neither.

1 Answer

6 votes

Answer:

Perpendicular

Explanation:

y=2x+4

x+2y=6

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2y=6-x

2y=-x+6

y=-1/2x+6/2

y=-1/2x+3

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y=2x+4 and y=-1/2x+3

look at the two slopes from these two equations here,

y=mx+b where m=slope.

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The first line has a slope of 2 and the second line has a slope of -1/2. Which means/indicates that they are perpendicular. Because one of them is the negative reciprocal of another.

User Arnold Gee
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