In the equation $y = 5.2 - 0.67x$, the equation is in slope-intercept form, $y = mx + b$, where:

• $m$ represents the slope of the line.
• $b$ represents the y-intercept, which is the value of $y$ when $x = 0$.

From the given equation:

• The slope ($m$) is $-0.67$.
• The y-intercept ($b$) is $5.2$.

Final Answer:

• Slope: $-0.67$
• Y-intercept: $5.2$

Would you like a graph of the line or further clarification?

Here are some related questions for exploration:

1. How does changing the slope affect the steepness of the line?
2. What does a negative slope imply about the direction of the line?
3. How can the y-intercept be interpreted graphically?
4. If the slope were $0$, what would the line look like?
5. How can you determine the x-intercept from the given equation?

Tip: Always check the sign of the slope to understand whether the line rises or falls as $x$ increases!