Question

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

Answer 1

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]}