Question

How do you graph `x-y= 3` using a table of values?

Answer 1

See a solution process below:

Explanation:

First, solve the equation for `y`:

`x - y = 3`

`-color(red)(x) + x - y = -color(red)(x) + 3`

`0 - y = -x + 3`

`-y = -x + 3`

`color(red)(-1) xx -y = color(red)(-1)(-x + 3)`

`y = x - 3`

Next, complete a table of values by substituting a number for `x` and calculating `y`:

Plot the Coordinates on the graph:

graph{((x+5)^2+(y+8)^2-0.125)(x^2+(y+3)^2-0.125)((x-5)^2+(y-2)^2-0.125)=0[-20, 20, -10, 10]}

Now, draw a line through the points to graph the equation for the line.

graph{(x-y-3)((x+5)^2+(y+8)^2-0.125)(x^2+(y+3)^2-0.125)((x-5)^2+(y-2)^2-0.125)=0[-20, 20, -10, 10]}