Which statement is true about the graphs of the two lines y= -8x-5/4 and y= 1/8x+4/5?

A. The lines are perpendicular to each other because –8 and 1/8 are opposite reciprocals of each other.

B. The lines are perpendicular to each other because -5/4 and 4/5 are opposite reciprocals of each other.

C.The lines are neither parallel nor perpendicular to each other because –8 and 1/8 are not opposite reciprocals of each other.

D. The lines are neither parallel nor perpendicular to each other because -5/4 and 4/5 are not opposite reciprocals of each other.

Which statement is true about the graphs of the two lines y 8x54 and y 18x45A The lines are perpendicular to each other because 8 and 18 are opposite reciprocal class=

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Answer:

The lines are perpendicular to each other because [tex]-8[/tex] and [tex]\frac{1}{8}[/tex] are opposite reciprocals of each other.

Step-by-step explanation:

The  first line has equation [tex]y=-8x-\frac{5}{4}[/tex].

The slope of this equation is [tex]-8[/tex].

The second equation is [tex]y=\frac{1}{8}x+\frac{4}{5}[/tex]

The slope of this equation is [tex]\frac{1}{8}[/tex]

The two slopes are negative reciprocals of each other.

This means that the two lines are perpendicular.

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