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write an equation of a line that passes through ( -3,-5) and is parallel to the line y...

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write an equation of a line that passes through ( -3,-5) and is parallel to the line y = 3x -1

 

 

how do you do this and can you show me step by step how you did it? thank you!

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Posted (Answer #1)

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If two lines are paralle then their slopes are equal.

since given equation y=3x-1 and  required line are parallel therefore

slope of required line=3  and

required line passes through (-3,-5)

Thus equation of line is

`y+5=3(x+3)`

`y+5=3x+9`

`y=3x+4`

Thus the line passes through (-3,-5) and parallel to y=3x-1 is y=3x+4 .

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