To rewrite the equation $2y - 4 + x = 0$ into slope-intercept form ($y = mx + b$), follow these steps:

1. Start with the given equation: $2y - 4 + x = 0$

2. Rearrange terms to isolate $2y$ on one side: $2y = -x + 4$

3. Divide through by 2 to solve for $y$: $y = -\frac{1}{2}x + 2$

Final Answer:

The slope-intercept form of the equation is: $y = -\frac{1}{2}x + 2$ Where:

• The slope ($m$) is $-\frac{1}{2}$,
• The y-intercept ($b$) is 2.

Would you like additional details or clarifications?

Related Questions:

1. What is the graph of this line?
2. How does the slope $-\frac{1}{2}$ affect the steepness of the line?
3. What are the x- and y-intercepts of this equation?
4. How can you use this form to find points on the line?
5. How would you rewrite this equation in standard form?

Tip:

When rewriting equations, always aim to isolate $y$ step-by-step for clarity.