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)
Answer:
(-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)