Respuesta :

The slopes of perpendicular lines are negative reciprocal of each other.

Further explanation:

Let us define slope first

"Slope is the steepness of a given line. The slope is calculated by using any two points on the line"

It is denoted by m and the formula is:

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

where (x1,y1) and (x2, y2) are coordinates of two points.

The slopes of parallel line are equal whereas the slopes of perpendicular lines are negative reciprocal of each other.

Let

m1 be the slope of first line and m2 be the slope of second line

then

[tex]m_1 = -\frac{1}{m_2}\\Or\\m_1 * m_2 = -1[/tex]

Keywords: Slope of a line, Slope of perpendicular lines

Learn more about slope at:

  • brainly.com/question/4097107
  • brainly.com/question/4819659

#LearnwithBrainly