alysharos3
contestada


Consider the line 4x+9y=9.
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?
Slope of a parallel line:
Slope of a perpendicular line:

Consider the line 4x9y9 What is the slope of a line parallel to this line What is the slope of a line perpendicular to this line Slope of a parallel line Slope class=

Respuesta :

4x + 9y = 9
9y = -4x + 9
y = -4/9x + 1

The gradient of parallel lines is -4/9
The gradient of perpendicular lines is 9/4 [the negative reciprocal of m]
chetankachana

Answer:

Parallel: [tex]-\frac49[/tex]

Perpendicular: [tex]\frac94[/tex]

Step-by-step explanation:

Hello!

First let's find the slope of the line given. Convert it to Slope-Intercept Form.

Slope-Intercept Form: [tex]y = mx + b[/tex]

Convert

  • [tex]4x + 9y = 9[/tex]
  • [tex]9y = -4x + 9[/tex]
  • [tex]y = -\frac49x+1[/tex]

Parallel Lines

Parallel lines have the same slope but a different y-intercept. Therefore, the slope of the parallel line is still [tex]-\frac49[/tex].

Perpendicular Lines

Perpendicular lines have the opposite reciprocal slope, which means you have to flip the sign (+/-), and the numerator and denominator. The slope of the perpendicular line is [tex]\frac94[/tex].

Otras preguntas