Question

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

Answer 1

Answer:

y = -x - 8

Step-by-step 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!

Answer 2

Answer:

$y=-x-8$

Step-by-step 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

$m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$ Where the y and x terms are from two ordered pairs

$m=\frac{rise}{run}$, 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 $m=\frac{rise}{run}$

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! :)