To solve the problem in the image:

We are asked to write the equation of a line in slope-intercept form $y = mx + b$, where:

• $m$ is the slope
• $b$ is the y-intercept.

Given:

• $m = -8$ (slope)
• $b = 8$ (y-intercept)

Substitute:

The equation becomes: $y = -8x + 8$

This is the equation of the line in slope-intercept form.

Would you like a breakdown or have additional questions?

Related questions:

1. What does slope-intercept form represent geometrically?
2. How would the graph of $y = -8x + 8$ look compared to $y = x + 8$?
3. How can you verify the slope from two points on the line $y = -8x + 8$?
4. What happens to the y-intercept if you add 2 to the equation $y = -8x + 8$?
5. How can you convert this equation to standard form?

Tip: Always double-check slope and intercept values before solving!