hxxxx hxxxx
  • 25-09-2021
  • Mathematics
contestada

2kx-(k+1)y=3
This is the equation of the line. What is the slope of the line?​

Respuesta :

JoshEast
JoshEast JoshEast
  • 25-09-2021

Answer:  [tex]\frac{2k}{k+1}[/tex]

Step-by-step explanation:

The slope of the line is 'm' in the slope-intercept form y = mx + c.

If me make y the subject of the equation, the coefficient of x will be 'm'.

∴ if   2kx - (K+1)y = 3

then 2kx - 3 = (k+1)y

⇒     (2kx - 3) ÷ (K+1)  = y

⇒      [tex](\frac{2k}{k+1 })x[/tex]  -  [tex](\frac{3}{k+1})[/tex]  = y

⇒    m = [tex]\frac{2k}{k+1}[/tex]

∴ the slope = [tex]\frac{2k}{k+1}[/tex]

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