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.

1. The lines are perpendicular to each other because -8 and 1/8 are negative reciprocals of each other.

Step-by-step explanation:  

We have been given equations of two lines as: and . We are asked to choose the correct statement about our given lines.

We can see both equations of our given lines in slope-intercept form of equation: , where, m represents slope of line and b represents y-intercept.

We can see that the slopes of our lines are -8 and 1/8.

Since we know that the slopes of perpendicular lines are negative reciprocal of each other and -8 and 1/8 are negative reciprocal of each other.

Two numbers are negative reciprocal if their product is -1.

Therefore, our given lines are perpendicular lines and 1st statement is the correct choice.

d) 30 units^2

area of rectangle = l × b

we know,

length = 10 unit

breadth = 3 unit

applying the formula,

= l × b

= 10 × 3

= 30 unit^2

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