The question asks to determine the equations of the given straight-line graph. Based on the portion visible in the image, the equation $y = -x + 6$ is provided. This is already in slope-intercept form, $y = mx + b$, where:

• $m$ is the slope ($-1$ in this case),
• $b$ is the y-intercept ($6$ in this case).

The given equation represents a straight line with:

• A slope of $-1$ (indicating a downward slope),
• A y-intercept of $6$ (where the line crosses the y-axis).

If additional equations are part of the problem, feel free to upload or describe them!

Would you like details on graphing this line or more related examples?

Related Questions

1. What does the slope and intercept signify in real-world applications?
2. How can you determine the slope from two given points on a line?
3. How do you convert an equation from standard form to slope-intercept form?
4. What are the characteristics of a line with zero slope?
5. How do parallel and perpendicular slopes relate?

Tip: Always double-check the slope’s sign ($+$ or $-$) as it determines the line's direction!