Question

How do you graph `5x+3y=15` using a table of values?

Answer 1

See below

Explanation:

Since this is the equation of a line (both `x` and `y` appear with exponent `1`), you actually need only two values in your table. You build the table by choosing an arbitrary value for one variable, and solving for the other.

For example, let's choose `x=0`. Plugging that value into the equation gives

`5*0+3y=15 \to 3y=15 \to y=5`

So, the first point is `(0,5)`.

Let's find the second point the other way around, and let's set `y=0` this time: the equation becomes

`5x+3*0=15 \to 5x=15 \to x=3`

So, the second point is `(3,0)`

Plot the two points on the plane and connect them with a line, and there is your graph :)