Answered

Given the two equations below, determine which statement best describes the graph of the equations.

y=1/2x-3

y=-2x+16

Select answer A The two lines given by the above equations are perpendicular. Select answer

B The two lines given by the above equations coincide. Select answer

C The two lines given by the above equations are parallel.

D The two lines given by the above equations intersect (but are not perpendicular). ...?

Verified Answer :

The best and most correct answer among the choices provided by your question is the fourth choice or letter D.

The two lines given by the above equations intersect (but are not perpendicular) is the best description of the two graphs.

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facundo3141592

Answer: Option A.

Step-by-step explanation:

The lines that we have is:

y = (1/2)x - 3

y = -2x + 16

Now, two lines of the shape y1 = a1x + b1 and y2 = a2x + b2 are parallel if both lines have the same slope, this means that a1 = a2.

Those lines are perpendicular if a1 = -1/a2

now, the slope in the first equation is (1/2) and in the second equation is -2.

so a1 = 1/2

-1/a1 = -(2) = a2

so the two lines are perpendicular, the correct option is A

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