Question

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

Answer 1

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

`y = mx + b`

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:

`2x + 4y = 5`

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

`4y = -2x + 5\\y = - \frac {2} {4} x + \frac {5} {4}\\y = - \frac {1} {2} x + \frac {5} {4}`

Thus,
`m_ {1} = - \frac {1} {2}`, then a parallel line will have a slope
`m_ {2} = - \frac {1} {2}.`

Answer:

The slope is:
`m_ {2} = - \frac {1} {2}`