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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