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Luda [366]
3 years ago
7

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

Mathematics
2 answers:
RSB [31]3 years ago
6 0

Answer:

(-12, 8)

Step-by-step explanation:

<u>Given line with points of:</u>

  • (-12, -2) and (0, -4)

<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>

  • y = -1/6x + b

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
erastovalidia [21]3 years ago
4 0

Answer:-12 8

Step-by-step explanation:

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