You have provided the equation:

$y = 20.1x + 67.1$

This represents a linear equation in slope-intercept form, $y = mx + b$, where:

• $m = 20.1$ is the slope of the line, indicating the rate of change of $y$ with respect to $x$.
• $b = 67.1$ is the y-intercept, which is the value of $y$ when $x = 0$.

Key Insights:

1. Slope ($m$) tells us that for every increase of 1 unit in $x$, $y$ increases by 20.1 units.
2. Y-Intercept ($b$) tells us that the line crosses the y-axis at $(0, 67.1)$.
3. This is a straight line with a positive slope, meaning the line rises as $x$ increases.

Would you like more details on any of these concepts, or how to plot the line?

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Here are 5 related questions:

1. What is the value of $y$ when $x = 5$?
2. How would you find the x-intercept of the line?
3. What happens to the value of $y$ if $x$ increases by 3 units?
4. How can you graph the line using only the slope and y-intercept?
5. What does the slope of 20.1 tell you about the steepness of the line?

Tip: The slope of a line helps you understand how fast $y$ changes with respect to $x$, so a higher slope means a steeper line!