We are asked to determine the [tex]x[/tex] and [tex]y[/tex] intercepts of the equation [tex]y=-12x-4[/tex]. Since this equation is already in slope-intercept form, we can find the y-intercept by looking at the constant term, which is [tex]-4[/tex]. Thus, the y-intercept of the equation is [tex]-4[/tex]. Now, we need to find the x-intercept. We can do this by setting [tex]y[/tex] to equal [tex]0[/tex].
[tex]y=-12x-4[/tex]
[tex]0=-12x-4[/tex]
[tex]4=-12x[/tex]
[tex]x=-\frac{1}{3}[/tex]
Therefore, the x-intercept is [tex]\boxed{\frac{1}{3}}[/tex] and the y-intercept is [tex]\boxed{-4}[/tex]. Hope this helped!
