Exploring Slope and Rate of Change Concepts

This video tutorial covers the concept of slope, explaining it as the ratio of rise over run on a graph. It introduces the four types of slopes: positive, negative, zero, and undefined. The tutorial also explains how to calculate slope using the formula involving two points and provides examples of slope calculation. Additionally, it discusses the concept of rate of change, particularly in the context of word problems and unconventional graphs.

What is the definition of slope?

• The length of a line segment

• The angle of a line

• The ratio of rise over run

• The distance between two points

Which type of slope increases from left to right?

• Negative slope

• Undefined slope

• Zero slope

• Positive slope

Why is a zero slope called zero?

• Because the run is zero

• Because both rise and run are zero

• Because it is a horizontal line

• Because the rise is zero

What happens when you try to divide by zero in the context of slope?

• You get a negative slope

• You get a positive slope

• You get a zero slope

• You get an undefined slope

How do you determine the slope of a line using 'finger math'?

• By counting how far up and over you go

• By measuring the angle of the line

• By using a calculator

• By drawing a perpendicular line

If a line is decreasing from left to right, what type of slope does it have?

• Positive slope

• Negative slope

• Undefined slope

• Zero slope

What is the slope formula?

• m = y2 - y1 / x2 - x1

• m = x2 - x1 / y2 - y1

• m = y1 - y2 / x1 - x2

• m = x1 - x2 / y1 - y2

How do you handle negative signs when calculating slope?

• Be careful and consistent when plugging them in

• Subtract them from the denominator

• Add them to the numerator

• Ignore them

What does 'rate of change' refer to in word problems?

• The speed of an object

• The slope in word problems

• The distance between two points

• The angle of a line

How do you find the rate of change in unconventional graphs?

• By drawing a perpendicular line

• By extracting points and calculating slope

• By using a calculator

• By measuring the angle