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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 + 5 =0

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D

2x - 3y +12 = 0

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Solution

The correct option is C

x - 3y + 5 =0


Given line x-3y=3
Expressing the lines in y =mx+c format
3y=x-3
y=x33
Comparing this line with y-mx+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+5
x-3y+5=0

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