Question

How do you graph the line `y + 3 = x + 6`?

Answer 1

See a solution process below:

Explanation:

First, solve the equation for two points and plot the points on the graph:

For `y = 3`:

`3 + 3 = x + 6`

`6 = x + 6`

`6 - color(red)(6) = x + 6 - color(red)(6)`

`0 = x + 0`

`0 = x`

`x = 0` or `(0, 3)`

For `x = 3`:

`y + 3 = 3 + 6`

`y + 3 = 9`

`y + 3 - color(red)(3) = 9 - color(red)(3)`

`y + 0 = 6`

`y = 6` or `(3, 6)`

graph{(x^2+(y-3)^2-0.05)((x-3)^2+(y-6)^2-0.05)=0 [-15, 15, -7.5, 7.5]}

Now, draw a line through the two points to graph the equation:

graph{(y-x-3)(x^2+(y-3)^2-0.05)((x-3)^2+(y-6)^2-0.05)=0 [-15, 15, -7.5, 7.5]}