The problem asks for the values of $m$ and $b$ in the line equation $y = mx + b$, given that the line has a slope of 3 and a y-intercept of -2.

In the slope-intercept form $y = mx + b$:

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

Given Information:

• Slope ($m$) = 3
• Y-intercept ($b$) = -2

Solution:

From the given information:

• The value of $m$ is 3.
• The value of $b$ is -2.

Thus:

• $m = 3$
• $b = -2$

Let me know if you would like further details or have any questions!

Related Questions:

1. How do you find the slope of a line given two points?
2. How can you convert a line from standard form to slope-intercept form?
3. What is the significance of the slope in real-world applications?
4. How does changing the y-intercept affect the graph of a line?
5. What does a negative slope indicate about the direction of a line?

Tip:

Always remember that the slope-intercept form $y = mx + b$ makes it easy to identify the slope and y-intercept directly from the equation.