Understanding Slope Between Two Points

The video tutorial explains how to find the slope between two points. It introduces the concept of slope as 'rise over run' and explains it as the change in y over the change in x, denoted as delta y over delta x. The tutorial demonstrates how to label points as (x1, y1) and (x2, y2) and use these labels to calculate the slope. An example is provided, showing the calculation of a negative slope and explaining how to interpret it. The tutorial also discusses converting whole number slopes into fractional form for better understanding.

What is one of the most common ways to describe slope?

• Rise over run

• Speed over distance

• Height over width

• Distance over time

What does 'rise' refer to in the context of slope?

• The vertical change between two points

• The total distance traveled

• The horizontal distance between two points

• The angle of elevation

How is the slope formula expressed using delta notation?

• Delta y times delta x

• Delta x over delta y

• Delta x minus delta y

• Delta y over delta x

When labeling points for slope calculation, what subscripts are used?

• a1, b1 and a2, b2

• x1, y1 and x2, y2

• m1, n1 and m2, n2

• p1, q1 and p2, q2

What is the result of subtracting y1 from y2 in the slope formula?

• The total distance

• The average speed

• The change in x

• The change in y

In the example calculation, what is the value of y2?

• -1

• 4

• -8

• 3

What happens when you subtract a negative number in the slope calculation?

• It remains the same

• It becomes zero

• It becomes positive

• It becomes more negative

What is the final slope value calculated in the example?

• 4

• -4

• 3

• -3

How can a whole number slope be expressed in fractional form?

• By dividing by 2

• By subtracting 1

• By multiplying by 2

• By placing it over 1

What is the purpose of converting a slope to fractional form?

• To maintain the same value in a different form

• To make it a whole number

• To simplify calculations

• To change its value