The equation of the line is given in slope-intercept form:

$y = mx + b$

where:

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

For the equation $y = -3x + 2$:

1. Slope ($m$): $-3$
2. Y-intercept ($b$): $2$

Thus:

• The slope of the line is $-3$.
• The y-intercept is at $(0, 2)$.

Would you like me to plot this line or provide further details?

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Here are 5 related questions for practice:

1. What does a slope of $-3$ mean in terms of the steepness and direction of the line?
2. How would the line change if the slope were $3$ instead of $-3$?
3. What is the x-intercept of this line?
4. How would the graph look if the y-intercept were $0$ instead of $2$?
5. Write an equation of a line parallel to $y = -3x + 2$.

Tip: Always look for key values ($m$ and $b$) in slope-intercept form for quick analysis.