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]
