The equation you've provided is in slope-intercept form, which is written as:

$y = mx + b$

where:

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

For your equation $y = 7x + 2$:

• The slope $m = 7$
• The y-intercept $b = 2$

This means the line has a slope of 7, meaning that for every unit increase in $x$, $y$ increases by 7 units. The line crosses the y-axis at $(0, 2)$.

Would you like to explore more about this equation? For example, we could find the x-intercept, plot the graph, or analyze the line's behavior.

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Here are some related questions:

1. What is the x-intercept of the equation $y = 7x + 2$?
2. How do you graph the equation $y = 7x + 2$?
3. How would the graph change if the slope were negative, say $y = -7x + 2$?
4. How can we use this equation to find the value of $y$ when $x = 4$?
5. What does the slope of 7 represent in the context of this line?

Tip: The slope of a line indicates the steepness. A larger absolute value of the slope makes the line steeper.