Exploring Slope from Graphs

The video tutorial explains how to determine the slope of a line from a graph. It covers the concept of slope as a ratio of rise over run, and guides students through the process of identifying points on a graph to calculate the slope. The tutorial emphasizes the importance of reducing fractions and avoiding decimals or mixed numbers. It also addresses the calculation of negative slopes and the challenges of working with smaller graphs.

What is the goal of the lesson on slope?

• To understand the concept of rise and run

• To learn how to draw graphs

• To write a ratio describing the slope of a line

• To calculate the area under a curve

What do you need to do first when finding the slope from a graph?

• Identify the y-intercept

• Calculate the area

• Find two points on the line

• Draw a triangle

What does the numerator of the slope fraction represent?

• The horizontal distance

• The total distance

• The vertical distance

• The diagonal distance

Why is it important to keep the slope in fraction form?

• To simplify calculations

• To avoid decimals or mixed numbers

• To make it easier to add

• To find the y-intercept

What is the simplified form of the slope if the rise is 3 and the run is 3?

• 3

• 1

• 1/3

• 3/1

In the second example, what is the slope if the rise is 2 and the run is 5?

• 2

• 1/2

• 5/2

• 2/5

Why is it important to avoid decimals or mixed numbers when expressing slope?

• To find the x-intercept

• To avoid confusion

• To make it easier to multiply

• To keep the slope in its simplest form

What should you do if the slope goes downwards?

• Ignore the negative sign

• Find two points and calculate the rise and run

• Only consider the horizontal distance

• Use a different formula

How do you handle smaller graphs when finding the slope?

• Use a magnifying glass

• Identify points that are perfectly in the middle of vertical, horizontal, and diagonal lines

• Use a different method

• Ignore the smaller graphs

What is the slope if the rise is -3 and the run is 5?

• 5/3

• -3/5

• 3/5

• -5/3