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`

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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`

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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`

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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`

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