Question

At which point does the graph of the equation 2x + y = 4 cross the x-axis?

Answer 1

Answer:

It crosses the x-axis at 2

Step-by-step explanation:

1. 2x+y=4
2. move the y over
3. 2x=4-y
4. divide everything by 2
5. x=2-1/2y
6. locate the x-intercept
7. 2

Answer 2

we can always find the x-intercept, where the graph crosses the x-axis, by simply zeroing out the "y" and solving for "x".

$\bf 2x+y=4\implies \stackrel{\textit{y=0}}{2x+0=4}\implies 2x=4\implies x=\cfrac{4}{2}\implies x=2 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill (2,0)~\hfill$