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A line passes through (-7,1) and (-2,6). Another lines passes through (-5,-1) and (0,4). Prove the points are parallel. *3 pointsThe slope of Line 1 is 1The slope of Line 1 is -1The slope of Line 1 is 2The slope of Line 2 is 1The slope of Line 2 is -1The slope of Line 2 is 2Both lines have the same slope so they are parallelThe product of both slopes are -1 so they are parallel

User Jimmy KD
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1 Answer

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A line passes through (-7,1) and (-2,6).

Another lines passes through (-5,-1) and (0,4).

Prove the points are parallel. If the gradients of the two lines are the same , then the lines are parallel.

Line 1

( x 1 , y 1 ) = (-7,1) and ( x 2 , y 2 ) = (-2,6).

m = ( y2 - y1 ) / ( x2 - x 1 )

m = ( 6 - 1 ) / ( -2 - - 7 ) = 5 / 5 = 1

Line 2

( x 1, y 1 ) = ( -5 , -1 ) and ( x 2 , y2 ) = ( 0 , 4 )

m = ( 4 - - 1 ) / 0 - - 5 ) = 5 / 5 = 1

The slope of Line 1 is 1 ( CORRECT )

The slope of Line 2 is 1 ( CORRECT )

Both lines have the same slope so they are parallel ( CORRECT)

User Pierre CORBEL
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