Answer:
(-12, 8)
Step-by-step explanation:
<u>Given line with points of:</u>
<u>Its slope is:</u>
- m = (y₂ - y₁)/(x₂ - x₁) = (-4 + 2)/(0 +12) = -2/12 = -1/6
<u>The line parallel to this line has the same slope and it will have equation:</u>
As this line passes through point (0, 6) it has x-intercept of 6, so b= 6
<u>So the line is:</u>
y = -1/6x + 6
<u>Checking the answer options:</u>
<h3>(-12, 8) --------------</h3>
- 8 = -1/6*(-12) + 6
- 8 = 2 + 6
- 8 = 8
- Correct
<h3 /><h3>(-6, 6) --------------</h3>
- 6 = -1//6*(-6) + 6
- 6 = 1 + 6
- 6 ≠ 7
- Incorrect
<h3 /><h3>(2, 8) --------------</h3>
- 8 = -1/6*2 + 6
- 8 = -1/3 + 6
- 8 ≠ 5 2/3
- Incorrect
<h3 /><h3>(6, 0) --------------</h3>
- 0 = -1/6*6 + 6
- 0 = -1 + 6
- 0 ≠ 5
- Incorrect
