Answer: First option.
Step-by-step explanation:
It is important to remember that the line intersects the x-axis when [tex]y=0[/tex].
So, given the line [tex]3x+4y=12[/tex], you need to substitute [tex]y=0[/tex] into the equation and solve for "x", in order to find the x-intercept of this line.
Therefore, this is:
[tex]3x+4y=12\\\\3x+4(0)=12\\\\3x+0=12\\\\3x=12\\\\x=\frac{12}{3}\\\\x=4[/tex]
Therefore, this line intersects the x-axis at this point:
[tex](4,0)[/tex]
