The slope of a line that is perpendicular to another line, is the negative reciprocal. The negative reciprocal means that you flip the fraction and change the
sign

TRUE or FALSE

Respuesta :

Answer:

TRUE

Step-by-step explanation:

There is a fact about the perpendicular lines:

The product of their slopes is -1

Example:

  • If the slope of one line is [tex]\frac{2}{3}[/tex], then the slope of the line which is perpendicular to it is [tex]\frac{-3}{2}[/tex]  because  [tex]\frac{2}{3}[/tex] × [tex]\frac{-3}{2}[/tex] = -1

  • [tex]\frac{-3}{2}[/tex] is the negative reciprocal of  [tex]\frac{2}{3}[/tex]

  • To get the slope of a perpendicular line to a line flip the slope of the line and change its sign

The slope of a line that is perpendicular to another line, is the negative reciprocal is TRUE

The correct answer is true