Positive and negative slope | Algebra I | Khan Academy

TL;DR

Slope is a measure of the steepness of a line and is calculated as the change in the vertical direction divided by the change in the horizontal direction.

Transcript

• [Voiceover] Slope is defined as your change in the vertical direction, and I could use the Greek letter delta, this little triangle here is the Greek letter delta, it means change in. Change in the vertical direction divided by change in the horizontal direction. That is the standard definition of slope and it's a reasonable way for measuring how... Read More

Key Insights

• 💱 Slope is calculated as the change in the vertical direction divided by the change in the horizontal direction.
• ☺️ A slope of 1 indicates a 45-degree angle and a balanced increase between x and y.
• ❣️ A negative slope means that as x increases, y decreases.
• 🫥 The higher the slope, the steeper the line is.
• 📈 A positive slope represents an upward direction, while a negative slope represents a downward direction.
• 🫥 Slope is a useful tool in visualizing the steepness of a line and understanding its direction.
• 🫥 Steeper lines have higher slopes, while less steep lines have lower slopes.

Summary & Key Takeaways

• Slope is defined as the change in the vertical direction divided by the change in the horizontal direction.

• A slope of 1 means that for every increase of 1 in the x direction, there is an increase of 1 in the y direction.

• A negative slope means that as x increases, y decreases.