Question

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

Answer 1

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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 = (`-oo`,`+oo`)