Respuesta :

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.