we have the equation
2x – 4y = 8
This is the equation of a line
To graph a line, we need at least two points
so
Find out the intercepts
Find out the y-intercept (value of y when the value of x=0)
For x=0
2(0)-4y=8
4y=-8
y=-2
The y-intercept is the point (0,-2)
Find out the x-intercept (value of x when the value of y=0)
For y=0
2x-4(0)=8
2x=8
x=4
The x-intercept is the point (4,0)
To graph the line, plot the intercepts and join them to graph the line
see the figure below