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Which of the following lines intersects ...

Which of the following lines intersects `y = (x)/(3)+5` at (9, 8) and does not interset the line `y = -3x-7` ?

A

`y=-3x+13`

B

`y=-3x+35`

C

`y=-(x)/(3)+8`

D

`y=-(x)/(3)+11`

Text Solution

Verified by Experts

The correct Answer is:
B
If two lines do not interset on the coordinate plane, then they are parallel. Parallel lines have the same slope, so the slope of the line is `-3`. Since the line passes throught the point (9, 8), we can plug those x and y coordinate values into the slope - intercept formula :
`y = mx + b`
`8 = - 3(9)+b = -27 +b`
`b = 35`
So the equation of the line is `y = -3x+35`.
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