# Writing equations in all forms | Algebra I | Khan Academy | Summary and Q&A

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June 12, 2010
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Writing equations in all forms | Algebra I | Khan Academy

## TL;DR

Learn how to find the equation of a line using three different forms: point slope form, slope intercept form, and standard form.

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### Q: What is point slope form?

Point slope form relates a specific point on the line (x1, y1) and the slope (m) to the equation y - y1 = m(x - x1).

### Q: How is slope intercept form different from point slope form?

Slope intercept form is written as y = mx + b, with m representing the slope and b representing the y-intercept. It does not require a specific point on the line.

### Q: What does standard form mean for the equation of a line?

Standard form is expressed as ax + by = c, where a, b, and c are constants. This form does not have a direct interpretation on the graph.

### Q: How can we find the slope of a line?

The slope (m) is determined by calculating the change in y divided by the change in x, represented as (y2 - y1) / (x2 - x1).

## Summary & Key Takeaways

• There are three different forms of expressing the equation of a line: point slope form, slope intercept form, and standard form.

• Point slope form relates a point on the line and the slope of the line to the equation.

• Slope intercept form expresses the equation as y = mx + b, where m is the slope and b is the y-intercept.

• Standard form is ax + by = c, with a, b, and c being constants.