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

1 Answer
KillerBunny
Jun 5, 2018

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 :)

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