Exploring the Concept of Slope

This video tutorial provides a comprehensive guide on understanding and calculating slope. It begins with the definition of slope and explains the four types: positive, negative, zero, and undefined. The tutorial then demonstrates how to find slope from a graph using rise over run and from two points using the slope formula. It also covers graphing a line given a point and a slope, and finding a missing coordinate using the slope formula. The video includes helpful tricks to remember the characteristics of different slopes.

What is the definition of slope?

• The horizontal distance between two points

• The length of a line segment

• The steepness of a graph

• The area under a curve

Which formula is used to find the slope from two points?

• x2 - x1 / y2 - y1

• y1 - y2 / x1 - x2

• x1 - x2 / y1 - y2

• y2 - y1 / x2 - x1

What type of slope does a line have if it goes uphill?

• Negative slope

• Zero slope

• Positive slope

• Undefined slope

What is the slope of a horizontal line?

• Undefined

• Zero

• Negative

• Positive

What trick can help you remember that a vertical line has an undefined slope?

• The letter Z fits on top of the line

• The letter Z rotated becomes the letter N

• The letter Z has a vertical piece

• The letter Z is written on top of the line

When finding the slope from a graph, what does 'rise' represent?

• Horizontal change

• No change

• Diagonal change

• Vertical change

If you have the points (-2, -2) and (4, 1), what is the slope?

• 2/3

• 1/3

• 1/2

• 3/2

How do you graph a line given a point and a slope?

• Plot the point and draw a horizontal line

• Plot the point and use rise over run to find new points

• Plot the point and draw a vertical line

• Plot the point and use the distance formula

Given the point (2, 0) and a slope of 3, what is the next point on the graph?

• (2, 3)

• (3, 3)

• (3, 1)

• (1, 3)

If the slope of a line is 4 and you have the points (6, 4) and (R, 2), what is the value of R?

• 2

• 4

• 5

• 3