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

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Which of the following gives an equation of a

whittingtondee7084

03.01.2022

$\displaystyle 6x - y = -15, -6x + y = 15, or\:y = 6x + 15$

Step-by-step explanation:

First, find the rate of change [slope]:

$\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{0 - 12}{0 - 2} = \frac{-12}{-2} = 6$

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

$\displaystyle 15 = b \\ \\ y = 6x + 15$

If you want it in Standard Form:

y = 6x + 15

- 6x - 6x

__________

$\displaystyle -6x + y = 15\:OR\:6x - y = -15$

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