Chapter 8, Problem 35SGR

To determine

To state: The slope and the y-intercept of the graph

Answer to Problem 35SGR

The slope is 1 and the y intercept is -8.

Explanation of Solution

Given:

  $-x+y=-8$

Formula used:

The general form of equation of line in slope intercept form is:

  $y=mx+b$

Calculation:

Consider the equation: $-x+y=-8$

The general form of equation of line in slope intercept form is:

  $y=mx+b$

Here, m represents slope intercept and b stands for y intercept.

So, write the equation in general form.

Add both sides of equation by x

  $\begin{array}{l}-x+y+x=x-8\\ y=x-8\end{array}$

Hence, the equation $y=x+\left(-8\right)$ is written in the form of $y=mx+b$

Therefore, the slope is 1 and the y intercept is -8.

Conclusion:

Therefore, the slope is 1 and the y intercept is -8.