Mathematics: 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

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Which statement is true about the graphs of the

griffislandon74

07.01.2022

The lines are perpendicular to each other because and $\frac{1}{8}$ are opposite reciprocals of each other.

Step-by-step explanation:

The first line has equation $y=-8x-\frac{5}{4}$ .

The slope of this equation is .

The second equation is $y=\frac{1}{8}x+\frac{4}{5}$

The slope of this equation is $\frac{1}{8}$

The two slopes are negative reciprocals of each other.

This means that the two lines are perpendicular.

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