jissypoulose3179 jissypoulose3179
  • 30-10-2018
  • Mathematics
contestada

Write an equation of a line that is parel to 3/4x + 1 and passes through the point (4, -2).

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gmany
gmany gmany
  • 05-11-2018

Parallel lines have the same slope.

We have the line y = 3/4x + 1.

Then the equation of a parallel line is y = 3/4x + b.

The line passes through the point (4, -2). Put the coordinates of the point to the equation of a line:

-2 = 3/4(4) + b

-2 = 3 + b      subtract 3 from both sides

-5 = b

Answer: y = 3/4x - 5

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