Question

Which point is on the line that passes through (0, 6) and is

Answer 1

Answer:

(-12, 8)

Step-by-step explanation:

Given line with points of:

• (-12, -2) and (0, -4)

Its slope is:

• m = (y₂ - y₁)/(x₂ - x₁) = (-4 + 2)/(0 +12) = -2/12 = -1/6

The line parallel to this line has the same slope and it will have equation:

• y = -1/6x + b

As this line passes through point (0, 6) it has x-intercept of 6, so b= 6

So the line is:

y = -1/6x + 6

Checking the answer options:

(-12, 8) --------------

• 8 = -1/6*(-12) + 6
• 8 = 2 + 6
• 8 = 8
• Correct

(-6, 6) --------------

• 6 = -1//6*(-6) + 6
• 6 = 1 + 6
• 6 ≠ 7
• Incorrect

(2, 8) --------------

• 8 = -1/6*2 + 6
• 8 = -1/3 + 6
• 8 ≠ 5 2/3
• Incorrect

(6, 0) --------------

• 0 = -1/6*6 + 6
• 0 = -1 + 6
• 0 ≠ 5
• Incorrect

Answer 2

Answer:-12 8

Step-by-step explanation: