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Home Q & A Board Science-Related Homework Help Mathematics
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_lani _lani
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10 years ago
Determine whether the line that passes through the two given points is parallel or perpendicular (or neither) to a line with a slope of - 2.

(4, 2), (5, 4)

how do i solve this problem??
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#8
wrote...
#1
10 years ago
slope = change in y / change in x

The slope of a line passing through these points is...

(4 - 2) / (5 - 4) = 2 / 1 = 2

Remember ..
Lines that are PARALLEL have slopes that are EQUAL.
Lines that are PERPENDICULAR have slopes that are NEGATIVE RECIPROCALS. (Example: 1 and -1/2 ; 3 and -1/3 ; 4/5 and -5/4)

2 and -2. They are neither equal nor negative reciprocals of each other. Therefore, the answer is NEITHER.
#8
wrote...
#2
10 years ago
You calculate the slope:

Perpendicular lines have negative inverse (reciprocal) slopes

Parallel lines have the same slope

Use the formula

slope = y2 - y1 / x2 - x1

If slope = -2, the line is parallel

If slope = 1/2, the line is perpendicular to the other

If the slope is not 1/2 or -2 then it is neither perpendicular nor parallel to the other line.
wrote...
#3
10 years ago
parallel would be same slope
perpendicular would be neg reciprocal slope so we solve for slope

(4-2)/(5-4)
2/-1
-2 same slope so parallel
Answer accepted by topic starter
avbw15avbw15
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#4
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10 years ago
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