The given equation is:

$y = -3x + 2$

This is a linear equation in the slope-intercept form, which is:

$y = mx + b$

where:

• $m$ is the slope of the line.
• $b$ is the y-intercept, the point where the line crosses the y-axis.

1. Slope

In the equation $y = -3x + 2$, the coefficient of $x$ is $-3$. Therefore, the slope ($m$) is:

$\text{slope} = m = -3$

2. Y-Intercept

The y-intercept ($b$) is the constant term in the equation. In this case, it is $2$. Therefore, the y-intercept is:

$\text{y-intercept} = b = 2$

Summary

• Slope ($m$): $-3$
• Y-Intercept ($b$): $2$

Would you like more details or have any questions?

---

Here are some related questions you might find interesting:

1. How do you find the slope of a line given two points?
2. What does a negative slope indicate about the direction of a line?
3. How do you convert a linear equation from standard form to slope-intercept form?
4. What is the significance of the y-intercept in a real-world scenario?
5. How can you determine if two lines are parallel or perpendicular using their slopes?

Tip: In the slope-intercept form, the slope indicates the steepness and direction of the line, while the y-intercept shows where the line crosses the y-axis.