The equation given in the image is $y = -x - 4$. Let's find the intercepts.

1. Finding the x-intercept:

The x-intercept occurs when $y = 0$. So, set $y = 0$ in the equation and solve for $x$: $0 = -x - 4$ $x = -4$ Thus, the x-intercept is $(-4, 0)$.

2. Finding the y-intercept:

The y-intercept occurs when $x = 0$. So, set $x = 0$ in the equation: $y = -0 - 4$ $y = -4$ Thus, the y-intercept is $(0, -4)$.

So the answers are:

• x-intercept: $(-4, 0)$
• y-intercept: $(0, -4)$

Would you like further details or have any questions? Here are some related practice problems:

1. How do you find intercepts for a more complex linear equation, like $y = 2x + 3$?
2. What is the slope of the line represented by $y = -x - 4$?
3. How do you graph a line using its intercepts?
4. What happens to the intercepts if the equation is $y = 0.5x - 2$?
5. How would the intercepts change if you had an equation like $y = -x + 2$?

Tip: Always set the other variable to zero when finding intercepts!