The given linear equation is:

$y = 3x + 2$

To find the slope and y-intercept from this equation, we need to recognize it as being in slope-intercept form:

$y = mx + b$

Where:

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

From the equation $y = 3x + 2$, we can identify:

• Slope $m = 3$
• y-intercept $b = 2$

Part 1: What is the slope?

• The slope is 3.

Answer choice:

A. The slope is 3.

Would you like to see the graph of this line, or would you like more details on how to graph this equation?

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Here are 5 related questions:

1. What does the slope of 3 mean in terms of the line's steepness?
2. How do we find the x-intercept for the equation $y = 3x + 2$?
3. What is the general formula for finding the slope of a line between two points?
4. How can we graph any linear equation in slope-intercept form?
5. What happens to the slope if the coefficient of $x$ changes from 3 to -2?

Tip: To graph a line, always start by plotting the y-intercept (the point where $x = 0$), then use the slope to find another point. For example, for a slope of 3, move 3 units up for every 1 unit to the right.