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Which point is on the line that passes through (0, 6) and is parallel to the given line? (–12, 8) (–6, 6) (2, 8) (6, 0)

User Rob Willis
by
8.6k points

2 Answers

0 votes

Answer:

-12,8

Explanation:

User Csaba Benko
by
6.3k points
3 votes

Answer:

(-12,8)

Explanation:

Given that a line is parallel to the given line with slope (-1/6)

Also the line passes through (0,6)

Out of 4 points given, we have to find the point which lies on this line

We have been given point and slope for the required line

Hence use point slope formula

y-y1 = m(x-x1)

y-6 =- 1/6(x-0)

6y-36 =-x

x+6y-36 =0

Let us substitute the given 4 points and check.

-12+6(8)-36=0

I point satisfies this equaiton

while other points do not

Hence answer is (-12,8)

User Poelinca Dorin
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7.2k points