The statement first "The lines are perpendicular to each other because -8 and 1/8 are opposite reciprocal of each other" is correct.
A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have two lines given:
y = -8x - 5/4 ..(1)
y = x/8 + 4/5 ..(2)
Slope of the lines
m(1) = -8
m(2) = 1/8
m(1)m(2) = (-8)(1/8) = -1
Conditions for lines are perpendicular to each other.
Thus, the statement "The lines are perpendicular to each other because -8 and 1/8 are opposite reciprocal of each other" is correct.
Learn more about the straight line here:
brainly.com/question/3493733
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