What is the slope of the line represented by the equation 2y = 4x + 8?

To determine the slope of the line given by the equation (2y = 4x + 8), it is helpful to first rewrite the equation in slope-intercept form, which is (y = mx + b), where (m) represents the slope and (b) represents the y-intercept.

Starting with the original equation:

[ 2y = 4x + 8 ]

We can solve for (y) by dividing every term in the equation by 2:

[ y = \frac{4}{2}x + \frac{8}{2} ]

This simplifies to:

[ y = 2x + 4 ]

In this format, it's clear that the coefficient of (x) is the slope. Here, (m = 2), which indicates that the slope of the line is 2. This means that for every unit increase in (x), (y) increases by 2 units.

Thus, the slope of the line represented by the equation (2y = 4x + 8) is indeed 2.