brittg920
brittg920 brittg920
  • 14-03-2019
  • Mathematics
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what is the equation of the line that passes through the point (7,3) and is parallel to the line 4x+2y=10

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MrsStrong
MrsStrong MrsStrong
  • 14-03-2019

Answer:

y = -2x + 17

Step-by-step explanation:

Parallel lines have the same slope. The slope of the line 4x + 2y = 10 is -2 since 4x + 2y = 10 converts to y = -2x + 5.

Substitute the slope m = -2 and the point (7,3) into the point slope form of a line to write its equation.

[tex]y-y_1 = m(x-x_1)\\y - 3 = -2(x - 7)\\y-3 = -2x + 14\\y = -2x + 17[/tex]

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