Question

Write the equation of the line in fully simplified slope intercept form

Answer 1

`y=-x-8`

Explanation:

Slope intercept form is in the general form

`y=mx+b` such that
`m` is the slope of the line, and that
`b` is the y-intercept of that line.

The equation for slope can be denoted as any of those below

`m=(y_(2)-y_(1) )/(x_(2)-x_(1) )` Where the y and x terms are from two ordered pairs

`m=(rise)/(run)`, such that rise is the vertical change in a line, and run the run is the horizontal change

Work!

In this case, since we are given nothing but a line, we should use
`m=(rise)/(run)`

Since the graph goes down by 1 for every 1 distance to the right, the change in rise of y (-1) divided by the run of x (1) means that
`m=-1`

We now have
`y=-x+b`

Since b is the y-intercept, according to the graph
`b=-8`

This leaves you with the final answer of
`y=-x-8`

Hope this helps! :)

Answer 2

y = -x - 8

Explanation:

I don't know what it means by "fully symplified", but this is how I would answer.

Hope this helps, and if not, I'm sorry!