To rewrite the equation $-\frac{1}{2}x + y = 10$ in slope-intercept form, which is $y = mx + b$ where $m$ is the slope and $b$ is the y-intercept, we just need to solve for $y$.

Step-by-step solution:

1. Starting equation:
   $-\frac{1}{2}x + y = 10$
2. Add $\frac{1}{2}x$ to both sides to isolate $y$: $y = \frac{1}{2}x + 10$

So, the equation in slope-intercept form is: $y = \frac{1}{2}x + 10$

Here, the slope $m = \frac{1}{2}$ and the y-intercept $b = 10$.

Would you like more details on how to work with slope-intercept form or any other clarifications?

5 Related Questions:

1. How do you find the slope of a line given two points?
2. What does the slope of a line represent in real-life situations?
3. How can you convert a slope-intercept equation to standard form?
4. How do you graph a line given its slope and y-intercept?
5. How can you find the x-intercept from the slope-intercept form?

Tip:

When converting between forms of a linear equation, keeping track of the slope and intercepts can help you easily graph and analyze the line's behavior.