1. Find the slope and y-intercept of the line `2x+3y=4`

Solution:
The given equation sholud be written in the form `y=mx+c`

`2x+3y=4`

`:. 3y=-2x+4`

`:. y=-2/3x+4/3`

Comparing this equation with `y=mx+c`, we get

`m=-2/3` and `c=4/3`

Hence, the slope of the line is `-2/3` and the y-intercept is `4/3`

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2. Find the slope and y-intercept of the line `2x+3y-6=0`

Solution:
The given equation sholud be written in the form `y=mx+c`

`2x+3y-6=0`

`:. 3y=-2x+6`

`:. y=-2/3x+2`

Comparing this equation with `y=mx+c`, we get

`m=-2/3` and `c=2`

Hence, the slope of the line is `-2/3` and the y-intercept is `2`

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3. Find the slope and y-intercept of the line `3x+6y-8=0`

Solution:
The given equation sholud be written in the form `y=mx+c`

`3x+6y-8=0`

`:. 6y=-3x+8`

`:. y=-1/2x+4/3`

Comparing this equation with `y=mx+c`, we get

`m=-1/2` and `c=4/3`

Hence, the slope of the line is `-1/2` and the y-intercept is `4/3`

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4. Find the slope and y-intercept of the line `4x+5y+7=0`

Solution:
The given equation sholud be written in the form `y=mx+c`

`4x+5y+7=0`

`:. 5y=-4x-7`

`:. y=-4/5x-7/5`

Comparing this equation with `y=mx+c`, we get

`m=-4/5` and `c=-7/5`

Hence, the slope of the line is `-4/5` and the y-intercept is `-7/5`

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