What is the x-intercept of the graph of the equation x - y = -8?
Understand the Problem
The question is asking us to find the x-intercept of the equation x - y = -8. The x-intercept is the point where the graph crosses the x-axis, which occurs when y equals zero. To find it, we can set y to 0 and solve for x.
Answer
The x-intercept is $(-8, 0)$.
Answer for screen readers
The x-intercept is the point $(-8, 0)$.
Steps to Solve
- Set y to zero
To find the x-intercept, we set $y = 0$ in the equation $x - y = -8$.
- Substitute y into the equation
Substituting $y = 0$ into the equation gives us: $$x - 0 = -8$$
- Simplify the equation
This simplifies to: $$x = -8$$
- State the x-intercept
The x-intercept is the point where the graph crosses the x-axis. Therefore, the x-intercept is at the coordinate: $$(-8, 0)$$
The x-intercept is the point $(-8, 0)$.
More Information
The x-intercept is important for graphing linear equations, as it helps to define the position of the line on a coordinate plane. This particular line has a slope of 1, indicating a steady incline.
Tips
- Not setting $y$ to zero correctly. Make sure to always replace $y$ with 0 when finding the x-intercept.
- Confusing the x-intercept with the y-intercept. Remember that the x-intercept is where $y = 0$ and the y-intercept is where $x = 0$.
