How do you graph the line #x+4y=12#?

1 Answer
Aug 25, 2017

Answer:

Find 2 coordinates then plot those points to graph the line.

Explanation:

This is a linear equation so only 2 points are required to plot your graph.

Step 1 - isolate #x# or #y# on the left side of the equation. In this case #x# is easier.

#x##=#12#-#4#y#

Step 2 - find 2 values of #y# and calculate the values of #x#. The easiest would be the #x#-intersect (#y##=#0) and #y##=#1.

#x##=#12#-#4(0) => coordinate is (12, 0)
#x##=#12#-#4(1) => coordinate is (8, 1)

Step 3 - plot your graph with these two points and connect the points and extend your line ( these points are part of the solution but not the end-points).

graph{x+4y=12 [8.127, 12.206, -0.548, 1.492]}