The slope-intercept form of a linear equation is:

$y = mx + b$

where:

• $y$ is the dependent variable,
• $x$ is the independent variable,
• $m$ is the slope of the line, which represents the rate of change of $y$ with respect to $x$,
• $b$ is the y-intercept, which is the value of $y$ when $x = 0$. It represents the point where the line crosses the y-axis.

This form is useful because it directly provides both the slope of the line and the y-intercept, making it easy to graph the equation and understand the line's behavior.

Would you like to know more about this or anything else?

Here are 5 related questions that you might find interesting:

1. How do you find the slope and y-intercept of a line given two points?
2. What is the point-slope form of a linear equation, and how does it differ from slope-intercept form?
3. How do you determine if two lines are parallel or perpendicular using their slopes?
4. How can you convert a line from slope-intercept form to standard form?
5. What is the significance of the slope in real-world applications?

Tip: To find the slope-intercept form from a graph, identify the y-intercept first (where the line crosses the y-axis) and then calculate the slope by finding the rise over the run between two points on the line.