Understanding Slope: Positive and Negative

This video tutorial explains the concept of slope, focusing on positive and negative slopes. It covers how to calculate slope using the formula, visualizes slope with angles and units, and discusses the relationship between slope and line steepness. The video also explains slope values at different angles, including negative slopes and their reflections. The tutorial concludes with a review of the key concepts.

What is the main difference between a positive and a negative slope?

• A positive slope goes down, and a negative slope goes up.

• A positive slope goes up, and a negative slope goes down.

• A positive slope is horizontal, and a negative slope is vertical.

• A positive slope is vertical, and a negative slope is horizontal.

Which symbol is commonly used to represent slope in mathematics?

• m

• s

• n

• p

How do you calculate the slope between two points?

• X2 minus X1 over Y2 minus Y1

• X1 minus X2 over Y1 minus Y2

• Y1 minus Y2 over X1 minus X2

• Y2 minus Y1 over X2 minus X1

What is the slope of a line that rises one unit for every unit it moves to the right?

• 3

• 2

• 1

• 0

If a line has a slope of 2, what is the angle of inclination approximately?

• 71.6 degrees

• 63.4 degrees

• 45 degrees

• 90 degrees

What happens to the steepness of a line as the slope increases?

• The steepness remains the same.

• The steepness increases.

• The steepness becomes undefined.

• The steepness decreases.

What is the slope of a horizontal line?

• 0

• Negative

• 1

• Undefined

What is the slope of a vertical line?

• 0

• 1

• Negative

• Undefined

If a line decreases at 45 degrees below the x-axis, what is its slope?

• 0

• -2

• -1

• 1

What determines whether a slope is positive or negative?

• The horizontal change

• The vertical change

• The angle of the line

• The length of the line