Question

If two lines are perpendicular, which statement must be true?

A. Their slops are reciprocals
B. Their slopes are opposite
C. Their slopes are the same
D. Their slopes are negative reciprocals

Answer 1

The correct option is option D.Their slopes are negative reciprocals

Explanation:

The line can be understood as an infinite set of points aligned in a single direction. A line can be expressed by an equation that follows the model y = m * x + b, where "x" e "y" are the variables in a plane. In this expression m is called the slope of the line and is related to the inclination of the line. B is the independent term and is the value of the point at which the line cuts to the vertical axis (y axis) in the plane.

The perpendicular lines are two or more lines that intersect at an angle of 90 degrees.

For two lines to be perpendicular, their slopes must be reversed and changed sign. For example, you have two lines like the following: y = m1 * x + b1 y = m2 * x + b2 So, these lines are perpendicular if
`m1=-(1)/(m2)`. For example, if
`m1=(3)/(2)`, m2 must be worth
`-(2)/(3)`.

Then the correct option is option D.Their slopes are negative reciprocals

Answer 2

If two lines on a graph are perpendicular, then
their slopes are negative reciprocals.

Examples:

-- slope of one line = 2 . . . . . slope of a perpendicular line = -1/2 .

-- slope of one line = -3/5. . . . slope of a perpendicular line = 5/3 .

-- slope of one line = 100 . . . . slope of a perpendicular line = -0.01 .