Write an equation for the line that passes through the given point and is parallel to the graph of the given equation.

(10, -5) y= 3/2x-7

(6,2) y= 2/3x+19

Step-by-step explanation:

2 = ⅔[6] + b

4

If you want it in Standard Form:

y = ⅔x - 2

- ⅔x - ⅔x

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−⅔x + y = −2 [We do not want fractions in our standard equation, so multiply by the denominator to get rid it.]

−3[−⅔x + y = −2]

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−5 = 3⁄2[10] + b

15

If you want it in Standard Form:

y = 3⁄2x - 20

- 3⁄2x - 3⁄2x

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−3⁄2x + y = −20 [We do not want fractions in our standard equation, so multiply by the denominator to get rid of it.]

−2[−3⁄2x + y = −20]

* Parallel Lines have SIMILAR RATE OF CHANGES [SLOPES], so ⅔ and 3⁄2 remain the way they are.

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