A line passes through #(2 ,2 )# and #(1 ,2 )#. A second line passes through #( 7, 4 )#. What is one other point that the second line may pass through if it is parallel to the first line?

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Answer 1 · 2018-03-20T12:24:55

#(5,4)# may be other point through which the line passes.

The slope of the line passing through #(2,2) and (1,2)#

is #m= (y_2-y_1)/(x_2-x_1)= (2-2)/(1-2)=0/-1=0#.

The slope #0# means the line is parallal to the #x# axis

at #y# coordinate of #2#.

Second line passes through point #7,4#

Second line will be parallal to the #x# axis at #y# coordinate

of #4# . There are numerous points at #y# coordinate of #4#,

parallal to the #x# axis through which the line passes.

So #(5,4)# may be other point through which the line passes.[Ans]