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garik1379 [7]
2 years ago
9

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

Mathematics
1 answer:
vova2212 [387]2 years ago
3 0

Answer:

\displaystyle 2x - 3y = 6\:OR\:y = \frac{2}{3}x - 2 \\ \\ 3x - 2y = 40\:OR\:y = \frac{3}{2}x - 20

Step-by-step explanation:

2 = ⅔[6] + b

4

\displaystyle -2 = b \\ \\ y = \frac{2}{3}x - 2

If you want it in <em>Standard Form</em>:

y = ⅔x - 2

- ⅔x - ⅔x

_________

−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]

\displaystyle 2x - 3y = 6

_______________________________________________

−5 = 3⁄2[10] + b

15

\displaystyle -20 = b \\ \\ y = \frac{3}{2}x - 20

If you want it in <em>Standard</em><em> </em><em>Form</em>:

y = 3⁄2x - 20

- 3⁄2x - 3⁄2x

__________

−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]

\displaystyle 3x - 2y = 40

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

I am joyous to assist you anytime.

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There should be no problem in finding the value of the unknown variable "b" in the equation given in the question.The equation is solvable for finding the value of "b" because it is the only unknown variable in the single equation that is given in the question.
45 = 3b + 69
Let us reverse both sides of the equation first. then, we get
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b = - (24/3)
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but not b)

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