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Write an equation of the line passing through point P(3,8) that is parallel to the line y\ ={1}{5}(x+4) NEEP HELP ASAP

User Stuart Whitehouse
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1 Answer

15 votes
15 votes

Answer:

  • y = (1/5)(x + 37)

Explanation:

Slope-intercept form:

  • y = mx + b

Given line has a slope of m = 1/5.

Parallel lines have equal slopes, so the line we are looking for is:

  • y = (1/5)x + b and passing through point P(3,8).

Substitute the coordinates and slope and find b:

  • 8 = (1/5)*3 + b
  • b = 8 - 3/5
  • b = 7 2/5

The line is:

  • y = 1/5x + 7 2/5 or
  • y = (1/5)(x + 37)
User Ahmed Aman
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