What is the y-intercept of the graph of the equation x - y = -8?
Understand the Problem
The question is asking for the y-intercept of the equation x - y = -8. To find the y-intercept, we can set x to 0 and solve for y.
Answer
The y-intercept is $8$.
Answer for screen readers
The y-intercept is given by the point $(0, 8)$.
Steps to Solve
- Set x to 0
To find the y-intercept, we substitute $x = 0$ into the equation $x - y = -8$.
- Substitute and simplify
The equation now becomes: $$0 - y = -8$$
- Solve for y
To isolate $y$, we multiply both sides by -1: $$y = 8$$
The y-intercept is given by the point $(0, 8)$.
More Information
The y-intercept is the point where the line crosses the y-axis. In this case, when the value of $x$ is zero, $y$ takes the value of 8, indicating the line intersects the y-axis at this point.
Tips
- A common mistake is forgetting to set $x$ to 0 before solving for $y$. Always remember the specific steps to find the y-intercept.
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