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Plot the line -3x-5y=15....

Plot the line `-3x-5y=15`.

Text Solution

Verified by Experts

Method 1: Given `5y=-3x-15`
Using `y=mx+c, y=-3/5x-3`
Here the slope is negative, i.e., the line makes an angle greater than `90^(@)` with the x-axis. As intercept is negative, it indicates that the line will cut the y-axis on its negative side (figure)

when `x=0`, `y=-3`.
When `y=0`, `x=-5`.
Method 2: Using `x/a+y/b=1`,
`(-3x)/(15)-(5y)/(15)=1implies(x)/((-5))+(y)/((-3))=1`
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CENGAGE PHYSICS-BASIC MATHEMATICS-Exercise 2.6
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  4. A particle starts from origin with uniform acceleration. Its displacem...

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  5. The acceleration of a particle is given by a=t^3-3t^2+5, where a is in...

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  6. A particle starts moving along the x-axis from t=0, its position varyi...

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  7. A particle moves along the x-axis obeying the equation x=t(t-1)(t-2), ...

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  8. The speed of a car increases uniformly from zero to 10ms^-1 in 2s and ...

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  9. A car accelerates from rest with 2ms^-2 for 2s and then decelerates co...

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  10. A stationary particle of mass m=1.5kg is acted upon by a variable forc...

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  11. The displacement of a body at any time t after starting is given by s=...

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  12. A particle moves along a staight line such that its displacement at an...

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  13. The displacement x of a particle moving in one dimension under the act...

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  14. The position x of a particle varies with time t according to the relat...

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  15. The displacement of a particle along the x-axis is given by x=3+8t+7t^...

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  16. The acceleration a in ms^-2 of a particle is given by a=3t^2+2t+2, whe...

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  17. The displacement x of a particle along the x-axis at time t is given b...

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  18. A particle moves along a straight line such that its displacement s at...

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  19. The acceleration of a bus is given by ax(t)=at, where a=1.2ms^-2. a....

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  20. The acceleration of a motorcycle is given by ax(t)=At-Bt^2, where A=1....

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