# How do you graph the equation y-8=-x by making a table and what is its domain and range?

Dec 19, 2016

#### Explanation:

there are many ways to go about it, i am going to show you how graph this equation and how to find domain and range.

First step: we need to solve for $y$:
$y - 8 = - x$

add 8 both sides of equation

$y - 8 + 8 = - x + 8$

simplify both sides of equation

$y = - x + 8$

Second step: graph the equation by making a table

and then choose two points at least from the table and then put these points graph and then match the points by one line

Third step: find domain and range

Consider a simple linear equation like the graph shown, below drawn from the function $y = - x + 8$. What values are valid inputs? It's not a trick question -- every real number is a possible input! The function's domain and range is all real numbers because there is nothing you can put in for $x$ and $y$ that won't work. That's why the graph extends forever in the $x$ directions (left and right) and that's why the graph extends forever in the $y$directions (down and up) .
or we can say domain and range equal all real number

Domain and Range = ($- \infty$,$+ \infty$)