To graph the line 2y = 4x - 4, we first need to rewrite the equation in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.
Dividing both sides of the equation by 2, we get: y = 2x - 2
Now we can see that the slope of the line is 2 and the y-intercept is -2.
To graph the line, we start by plotting the y-intercept at (0, -2). From there, we use the slope to find another point on the line. The slope of 2 means that for every 1 unit we move to the right, we move 2 units up.
So, starting from the y-intercept at (0, -2), we move 1 unit to the right and 2 units up to get to the point (1, 0). We can continue this pattern to find more points on the line.
Plotting these points and connecting them with a straight line, we get the graph of the line 2y = 4x - 4: