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JulsSmile [24]
3 years ago
14

Write the point slope of the equation of the line described show work.

Mathematics
1 answer:
yaroslaw [1]3 years ago
7 0

Answer:

y= -3/2x + 5/2

Step-by-step explanation:

<u>Given:</u>

  • Line y= -3/2x - 1 and point (3, -2)

<u>To find:</u>

  • Equation for the line parallel to the given that passes through the given point.
<h3>Solution</h3>

The given line has a slope of -3/2

The parallel line will have the same slope

<u>The point-slope form:</u>

  • y - y1 = m(x -x1)

<u>We have m = -3/2, y1= -2, x1 = 3, plug in:</u>

  • y - (-2) = -3/2(x - 3)
  • y + 2 = -3/2(x - 3)
  • y = -3/2x + 9/2 - 2
  • y = -3/2x + 5/2

or

  • y = -1.5x + 2.5
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