How do you graph #3x+y=15#?

1 Answer
Feb 9, 2017

Answer:

Find two pair of sample solution points (the intercepts are often convenient);
Plot the two points;
Draw a straight line through the points.
#color(white)("XXX")#(see below)

Explanation:

Given #3x+y=15#

If #x=0#
then #y=15#

If #y=0#
then #x=5#

So we have two sample points #(0,15)# and #(5,0)#

Since #3x+y=15# is a linear equation, we only need two points to establish the graph.

Plotting these points and drawing a line through them gives us a graph that should look like:
enter image source here