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If the line passing through the points(a, 1) and (−14, 9)is parallel to the line passing through the points(−2, 7) and (a + 2, 1),what is the value of a?

Question

If the line passing through the points

(a, 1) and (−14, 9)

is parallel to the line passing through the points

(−2, 7) and (a + 2, 1),

what is the value of a?

check_circleAnswer
Step 1

The given points are

(a,1) and (-14,9)
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(a,1) and (-14,9)

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Step 2

Obtain the slope as follows.

y2-1
9 -1
(:()(a)and (*,))=(-14,9)
-14 a
8
-14 a
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y2-1 9 -1 (:()(a)and (*,))=(-14,9) -14 a 8 -14 a

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Step 3

The given poin...

2,7) and (a+2,1)
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2,7) and (a+2,1)

fullscreen

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