keykel7326 keykel7326
  • 02-04-2019
  • Mathematics
contestada

write the equation of the line that is parallelto the graph of y=2/3x+7 and passes through the point (-1 -2)

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MrsStrong
MrsStrong MrsStrong
  • 03-04-2019

Answer:

[tex]y + 2 = \frac{2}{3}(x+1)[/tex]

Step-by-step explanation:

Parallel lines are parallel because they never intersect. As such, they have the same slope. The slope of the line y = 2/3x + 7 is 2/3. Substitute m = 2.3 and the point (-1,-2) into the point slope form of a line.

[tex]y -y_1 = m(x-x_1)\\y --2 = \frac{2}{3}(x --1)\\y + 2 = \frac{2}{3}(x+1)\\[/tex]

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