Which statement is true about the graphs of the two lines y=-8x - 5/4 and y= 1/8x + 4/5? The lines are perpendicular to each other because –8 and are opposite reciprocals of each other. The lines are perpendicular to each other because and are opposite reciprocals of each other. The lines are neither parallel nor perpendicular to each other because –8 and are not opposite reciprocals of each other. The lines are neither parallel nor perpendicular to each other because and are not opposite reciprocals of each other.
Accepted Solution
A:
Hi there!
The lines given in the problem are perpendicular to each other because they are opposite reciprocals. An opposite reciprocal is when the original slope (-8) is made opposite, which is negative or positive depending on the number (8) and is flipped upside down, or the numerator becomes the denominator and vice-versa (1/8). Opposite reciprocals are also shown by when the two slopes are multiplied together, it is equal to -1, showing that the lines are perpendicular. (-8/1 x 1/8 = -1)