Writing equations in all forms  Algebra I  Khan Academy  Summary and Q&A
TL;DR
Learn how to find the equation of a line using three different forms: point slope form, slope intercept form, and standard form.
Key Insights
 π₯ Point slope form relates a specific point and the slope to the equation.
 π Slope intercept form expresses the equation as y = mx + b, with m representing the slope and b as the yintercept.
 βΊοΈ Standard form is represented as ax + by = c, and it does not have a direct interpretation on the graph.
 π± The slope can be calculated by finding the change in y and the change in x between two points on the line.
 π To convert from point slope form to slope intercept form, distribute the slope and combine like terms.
 β£οΈ Standard form requires rearranging the equation so that both x and y terms are on the same side.
 π§βπ Multiplying all terms by a common factor can eliminate fractions in the equation.
Transcript
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Questions & Answers
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 yintercept. 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 yintercept.

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