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Find a linear equation whose graph is a straight line with the given properties through (0.5,6) and parallel to the line 4x-2y=15

Respuesta :

mhanifa

Answer:

  • y = 2x + 5 or -2x + y = 5

Step-by-step explanation:

Given line:

  • 4x - 2y = 15

Converted to slope-intercept form of y= mx + b

  • 2y = 4x - 15
  • y = 2x - 7.5

Parallel lines have a same slope, so the line will be:

  • y = 2x + b

Using the point given (0.5, 6), finding the value of b:

  • y = 2x + b
  • 6 = 2*0.5 + b
  • b = 6 - 1
  • b = 5

So the line is:

  • y = 2x + 5

or

  • -2x + y = 5

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