What is the slope-intercept form of the liner equation 2x + 3y = 6? x, y, -6, -3, -1, \ - (3)/(2) \ - (2)/(3) 2, 3, 6, +, -, =, ​

Question

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

x, y, -6, -3, -1,

`\ - (3)/(2)`

`\ - (2)/(3)`
2, 3, 6, +, -, =,

​

Answer 1

Answer:
`y = -(2)/(3)x+2`

Check out the diagram below.

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Work Shown:

`2x + 3y = 6\\\\3y = 6-2x\\\\3y = -2x+6\\\\y = (-2x+6)/(3)\\\\y = (-2x)/(3)+(6)/(3)\\\\y = -(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 = -(2)/(3)` as the slope and
`b = 2` as the y intercept.