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`
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`
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`
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`
This material is intended as a summary. Use your textbook for detail explanation.
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