Answer:
m = 1/2
Step-by-step explanation:
The given equation of line is :
2x – 4y = 9 ..(1)
We need to find the slope of the line. The general equation of a line is given by :
y = mx + c ..(2)
Where
m is the slope of line
Equation (1) can be rearranged as follow :
-4y = 9-2x
4y = -9+2x
or
4y = 2x-9
Divide both sides by 4.
[tex]\dfrac{4y}{4} = \dfrac{2x}{4}-\dfrac{9}{4}\\\\y=\dfrac{1}{2}x+(\dfrac{-9}{4})[/tex] ..(3)
Now comparing equation (2) and (3) we get :
[tex]m=\dfrac{1}{2}[/tex]
So, the slope of the line is 1/2.
