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Vedmedyk [2.9K]
2 years ago
10

What is the slope-intercept form of the liner equation 2x + 3y = 6?

Mathematics
1 answer:
Romashka-Z-Leto [24]2 years ago
5 0

Answer:  y = -\frac{2}{3}x+2

Check out the diagram below.

======================================================

Work Shown:

2x + 3y = 6\\\\3y = 6-2x\\\\3y = -2x+6\\\\y = \frac{-2x+6}{3}\\\\y = \frac{-2x}{3}+\frac{6}{3}\\\\y = -\frac{2}{3}x+2\\\\

The steps above show us subtracting 2x from both sides, then we divide both sides by 3 to fully isolate y.

The last equation is in y = mx+b form with m = -\frac{2}{3} as the slope and b = 2 as the y intercept.

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