Question

Write the equation of the line that is parallel to y = -x – 5 and has a y-intercept at (0, 11).

Answer 1

`y=-x+11`

Explanation:

We know that the new equation must be parallel to
`y=-x-5`.

Therefore, since they are parallel, the slope of the new equation must be the same as the old.

The slope of the original equation is -1.

Therefore, the slope of our new equation is also -1.

We also know that it has a y-intercept at (0, 11).

And as determined earlier, it has a slope of -1.

So, we can use the slope-intercept form:

`y=mx+b`

Where m is the slope and b is the y-intercept.

We will substitute -1 for m and 11 for b. Thus, our equation is:

`y=-x+11`