To find the x-intercept, simply set y to 0, and to find the y-intercept, simply set x to 0.
x-intercept:
[tex]2x+4(0)=-12\\ 2x=-12\\ x=-6[/tex]
Our x-intercept would then be (-6, 0)
y-intercept:
[tex]2(0)+4y=-12\\ 4y=-12\\ y=-3[/tex]
And so our y-intercept would be (0, -3)