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Question

Find the equation of the straight line that has y - intercept 5 and is parallel to the straight line x - 3y = 3


A

3x - y + 5 = 0

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B

x - y +5=0

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C

x - 3y + 15 =0

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D

2x - 3y +12 = 0

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Solution

The correct option is C

x - 3y + 15 =0


Given line x3y=3

Expressing the lines in y=mx+c format

3y=x3

y=x31

Comparing this line with ymx+c.

slope of the line m=13

Slope of the parallel line m=13

Equation of the line with slope 13 and y intercept 5 is

y=mx+c

y=13x+5

3y=x+15

x3y+15=0


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