Question

What is the slope of the line that is parallel to the line whose equation is 2x + y = 4. Type a numerical answer in the space provided. Do not include spaces in your answer. If necessary, use the / key to represent a fraction bar and only type improper fractions (no mixed numbers).

Answer 1

2x + y = 4
y = -2x +4

answer
slope = -2

Answer 2

Slope = -2.

Explanation:

The equation of given line is

`2x+y=4`

We need to find the equation of line which is parallel to the given line.

If a line is defined as
`ax+by=c`, then

`slope = -(a)/(b)`

In the given equation a=2 and b=1, so the slope of given line is

`slope = -(2)/(1)`

`slope =-2`

The slope of given line is -2.

We know that the slope of two parallel lines are same.

Required line is parallel to the given line.

Therefore the slope of the line that is parallel to the line whose equation is 2x + y = 4 is -2.