1. Find x-intercept and y-intercept of the line `2x+3y=4`
Solution:
We shall write equation in the form `x/a+y/b=1` and find the intercepts on X and Y axis
`2x+3y=4`
`:. 2x+3y=4`
`:. (2x)/4+(3y)/4=1`
`:. x/(2)+y/(4/3)=1`
Comparing this equation with `x/a+y/b=1`, we get
`a=2` and `b=4/3`
Hence, intercept on X-axis is `2` and intercept on Y-axis is `4/3`
2. Find x-intercept and y-intercept of the line `2x+3y-6=0`
Solution:
We shall write equation in the form `x/a+y/b=1` and find the intercepts on X and Y axis
`2x+3y-6=0`
`:. 2x+3y=6`
`:. (2x)/6+(3y)/6=1`
`:. x/(3)+y/(2)=1`
Comparing this equation with `x/a+y/b=1`, we get
`a=3` and `b=2`
Hence, intercept on X-axis is `3` and intercept on Y-axis is `2`
3. Find x-intercept and y-intercept of the line `3x+6y-8=0`
Solution:
We shall write equation in the form `x/a+y/b=1` and find the intercepts on X and Y axis
`3x+6y-8=0`
`:. 3x+6y=8`
`:. (3x)/8+(6y)/8=1`
`:. x/(8/3)+y/(4/3)=1`
Comparing this equation with `x/a+y/b=1`, we get
`a=8/3` and `b=4/3`
Hence, intercept on X-axis is `8/3` and intercept on Y-axis is `4/3`
4. Find x-intercept and y-intercept of the line `4x+5y+7=0`
Solution:
We shall write equation in the form `x/a+y/b=1` and find the intercepts on X and Y axis
`4x+5y+7=0`
`:. 4x+5y=-7`
`:. (4x)/-7+(5y)/-7=1`
`:. x/(-7/4)+y/(-7/5)=1`
Comparing this equation with `x/a+y/b=1`, we get
`a=-7/4` and `b=-7/5`
Hence, intercept on X-axis is `-7/4` and intercept on Y-axis is `-7/5`
This material is intended as a summary. Use your textbook for detail explanation.
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