Answer:
[tex]\displaystyle 2x - 3y = 6\:OR\:y = \frac{2}{3}x - 2 \\ \\ 3x - 2y = 40\:OR\:y = \frac{3}{2}x - 20[/tex]
Step-by-step explanation:
2 = ⅔[6] + b
4
[tex]\displaystyle -2 = b \\ \\ y = \frac{2}{3}x - 2[/tex]
If you want it in Standard Form:
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]
[tex]\displaystyle 2x - 3y = 6[/tex]
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−5 = 3⁄2[10] + b
15
[tex]\displaystyle -20 = b \\ \\ y = \frac{3}{2}x - 20[/tex]
If you want it in Standard Form:
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]
[tex]\displaystyle 3x - 2y = 40[/tex]
* Parallel Lines have SIMILAR RATE OF CHANGES [SLOPES], so ⅔ and 3⁄2 remain the way they are.
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