The equation $y = 3x - 7$ represents a straight line in slope-intercept form, $y = mx + b$, where:

• $m = 3$ is the slope of the line, meaning for every increase of 1 unit in $x$, $y$ increases by 3 units.
• $b = -7$ is the y-intercept, meaning the line crosses the y-axis at $y = -7$.

Would you like to explore details about the slope, intercept, or how this equation can be graphed?

Here are 5 questions you might consider:

1. How do you find the x-intercept of this line?
2. What happens to the line if the slope changes to another value?
3. How would you graph this equation step by step?
4. What does a positive slope indicate compared to a negative slope?
5. Can this equation be rewritten in a different form, such as point-slope form?

Tip: The slope of a line gives you valuable information about its steepness and direction!