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d1i1m1o1n [39]
2 years ago
6

What is the line of the equation PARALLEL to the line y=3x+4 and through the y-intercept of -6?

Mathematics
2 answers:
Eddi Din [679]2 years ago
7 0

Answer:

<u>y = 3x - 6</u>

Step-by-step explanation:

The line here is <u>parallel</u>

  • Slope remains the same
  • Y-intercept is now -6

<u>Equation of line</u>

  • y = mx + c [where m = slope and c = y-intercept]
  • <u>y = 3x - 6</u>
DerKrebs [107]2 years ago
6 0
Parallel lines have slopes that are equal to one another.

Slope intercept form is:

y = mx + b (where m = slope and b = y-intercept)

the equation of the 1st line

y = 3x + 4 so it’s slope (m) = 3

the problem tells us the y-intercept of the second line is -6.

so we plug the two knowns into slope intercept form to get the equation of the second line:

y = 3x - 6

I hope this helps and is the BRAINLIEST!

Great luck with your studies :)

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