to find the intercepts you can plug 0 in where you see x and then solve for
and. . .
plug 0 in for y and then solve for x
Let's start with x=0 plug in 0 where you see x in the equation
y=-4-4*0
then we solve for y
4 times 0 is 0 so we can get rid of that all together
so y=-4 when x =0
You can put that point on the graph as (0,-4)
Now we need to do the same thing with y=0 again, plug in 0 where you see y
0=-4-4x
add 4 to both sides
4=-4x
divide both sides by -4
x=-1
so when y=0 x=-1
You can put that on the graph as (-1,0)
Here is a graph. Notice how the line passes through both the x and y axis at the points above. Those are the intercepts. x-intercept is -1 and y-intercept is -4