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Which of the following gives an equation of a line that passes through the point (,-19) and is
parallel to the line that passes through the origin and point (-2, -12)?

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BasketballEinstein

Answer:

[tex]\displaystyle 6x - y = -15, -6x + y = 15, or\:y = 6x + 15[/tex]

Step-by-step explanation:

First, find the rate of change [slope]:

[tex]\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{0 - 12}{0 - 2} = \frac{-12}{-2} = 6[/tex]

Then plug [−1, 9] into the Slope-Intercept Formula instead of the Point-Slope Formula because you get it done much more swiftly:

9 = 6[−1] + b

−6

[tex]\displaystyle 15 = b \\ \\ y = 6x + 15[/tex]

If you want it in Standard Form:

y = 6x + 15

- 6x - 6x

__________

[tex]\displaystyle -6x + y = 15\:OR\:6x - y = -15[/tex]

I am joyous to assist you anytime.

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