chiomaozukwechioma
chiomaozukwechioma chiomaozukwechioma
  • 24-10-2020
  • Mathematics
contestada

Write and equation of the line passing through point P(4,3) that is parallel to line y=1/2(x+4). Graph the equation of the lines to check that they are parallel.​

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sqdancefan
sqdancefan sqdancefan
  • 25-10-2020

9514 1404 393

Answer:

  y -3 = 1/2(x -4)

Step-by-step explanation:

In point-slope form, the equation of the desired line is ...

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

__

Comparing this to the given equation, ...

  y = 1/2(x +4)

we see the given line has a slope of 1/2 and goes through point (-4, 0). Using the same slope for the parallel line, the equation for point (4, 3) is ...

  y -3 = 1/2(x -4)

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