alm5aarianna alm5aarianna
  • 24-04-2020
  • Mathematics
contestada

Parallel Lines A line is parallel to y = 2x - 8 and intersects the point (-4,-1). What is the equation of this parallel line?

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Wallind11
Wallind11 Wallind11
  • 24-04-2020

Answer:

y= 2x+7

Step-by-step explanation:

Since the line is parallel to y = 2x - 8 it has slope m= 2

The equation of the line passing through (-4,-1) is given by,

[tex] \frac{y - ( - 1)}{x - ( - 4)} = m[/tex]

[tex] \frac{y + 1}{x + 4} = 2[/tex]

[tex] y + 1 = 2(x + 4)[/tex]

[tex]y + 1 = 2x + 8[/tex]

[tex]y = 2x + 8 - 1[/tex]

[tex]y = 2x + 7[/tex]

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Soggynuggetplayz
Soggynuggetplayz Soggynuggetplayz
  • 08-04-2022

Answer:

y= 2x+7

Step-by-step explanation:

Credit To: Wallind11

Note: I also got it right on my test.

Answer Link

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