Question 1153686
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Let's write all three equations in the form y = ax + b.


Line 1:  y = {{{(3/4)x}}} + {{{5/4}}}


Line 2:  y = {{{(3/4)x}}} + 8


Line 3:  y = {{{(4/3)x}}} + 1.



Now you see that Line 1 and Line 2 have the same slope, but they are not identical; they are different. 

    Hence, they are parallel.



Line 1 and Line 3 have different slope; hence, they are not parallel.

The slopes  {{3/4}}} and  {{{4/3}}} are not negative reciprocal. Hence, Line 1 and Line 2 are not perpendicular.

    The optional answer is NEITHER.



Line 2 and Line 3 have different slope; hence, they are not parallel.

The slopes  {{3/4}}} and  {{{4/3}}} are not negative reciprocal. Hence, Line 2 and Line 3 are not perpendicular.

    The optional answer is NEITHER.

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Solved. // All questions are answered.