What is the slope of a line that is parallel to the graph of 2x + 4y = 5?

For this case we have that by definition, the equation of a line of the slope-intersection form is given by:

Where:

m: It's the slope

b: It is the cut-off point with the y axis

We have to, if two lines are parallel then their slopes are equal.

We have the following equation of the line:

We manipulate algebraically to convert to the slope-intersection form:

Thus, , then a parallel line will have a slope

The slope is:

the answer will be the last one