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Plot the line 2x-3y=12....

Plot the line `2x-3y=12`.

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Method 1: Given `3y=2x-12impliesy=2/3x-4`
Therefore, using `y=mx+c`, we get `m=2/3` and `c=-4`.
Here, positive slope `(m)` means the angle made by the line with the x-axis should be less then `90^(@)` and negative c means the line will make in intercept with the negative y-axis (figure)

If `y=0`, then `2/3x=4impliesx=(4xx3)/(2)=6`
Method 2: Using `x/a+y/b=1`
`implies(2x)/(12)-(3y)/(12)=1impliesx/6+(y)/(-4)=1`
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CENGAGE PHYSICS-BASIC MATHEMATICS-Exercise 2.6
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