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zloy xaker [14]
4 years ago
10

A line passes through the point (0, 1) and has a positive slope. Which of these points could that line NOT pass through? Check a

ll that apply. (12, 3) (-2,-5) +(-3, 1) O (1, 15) (5,-2)​
Mathematics
1 answer:
geniusboy [140]4 years ago
6 0

Answer:

  • (-3, 1)
  • (5,-2)​

Step-by-step explanation:

<h3>Given a line with</h3>
  • The point (0, 1) on it
  • A positive slope
<h3>To find </h3>
  • The point from the list that is not on the same line
<h3>Solution</h3>
  • <em>Slope formula is m = (y2 - y1)/(x2 - x1)</em>

<u>Using one given point, we get the slope:</u>

  • m = (y - 1)/(x - 0)
  • m = (y - 1)/x and m > 0
<h3>Let's verify the answer choices</h3>

<u>Point (12, 3)</u>

  • m = (3- 1)/12 = 2/12 > 0, yes, on the line

<u>Point (-2,-5) </u>

  • m = (-5 - 1)/( -2) = 3 > 0, yes, on the line

<u>Point (-3, 1) </u>

  • m = (1 - 1)/(-3) = 0, no, not on the line

<u>Point (1, 15) </u>

  • m = (15 - 1)/1 = 14 > 0, yes, on the line

<u>Point (5,-2)​</u>

  • m = (-2 - 1)/5 = -3/5 < 0, no, not on the line
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