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)

(-12,8)

Step-by-step 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)