Answer:
m = 2
Step-by-step explanation:
The given equation is :
8x – 4y - 9 = 0
The general equation of a line is given by :
y = mx+b ...(1)
here m is slope and b is y-intercept
Equation (1) can be written as :
8x – 4y = 9
Dividing both sides by (-4)
[tex]\dfrac{8x}{-4}-\dfrac{4y}{-4}=\dfrac{9}{-4}\\\\-2x+y=-\dfrac{9}{4}\\\\y=2x+\dfrac{-9}{4}[/tex] ...(2)
Comparing equation (1) and (2), we get :
m = 2
Hence, the slope of the line is 2.