Understanding Slope and Graphing Lines

The video tutorial explains the concept of slope as 'rise over run' and discusses how the direction of the run can change based on the sign of the denominator. It provides examples of graphing lines using given points and slopes, including handling special cases where the slope's form needs to be adjusted for convenience on a coordinate plane. The tutorial emphasizes that while the run is often to the right, it can be to the left when using a negative denominator.

What is the typical direction of the run when the slope is expressed with a positive denominator?

• Right

• Down

• Left

• Up

In the example with the point (-2, 1) and slope -2/3, what is the direction of the run when the slope is expressed as -2/3?

• Down

• Up

• Right

• Left

How can the slope -2/3 be rewritten to find points to the left of (-2, 1)?

• 2/3

• -2/-3

• 2/-3

• -3/2

In the special case with the point (2, -6) and slope -3/4, why is it necessary to change the slope form?

• To fit the coordinate plane

• To make calculations easier

• To avoid negative numbers

• To simplify the equation

What is the equivalent positive form of the slope -3/4?

• 3/4

• -3/-4

• -4/3

• 3/-4

For the point (4, 5) with a slope of 4, what is the equivalent negative form of the slope?

• -4/1

• -4/-1

• 4/-1

• -1/4

Why is it sometimes necessary to express the slope with a negative denominator?

• To change the line's direction

• To simplify calculations

• To fit the coordinate plane

• To make the line steeper

What happens to the direction of the run when the slope is expressed with a negative denominator?

• It goes left

• It goes down

• It goes right

• It goes up

In the conclusion, what is reiterated about the direction of the run?

• It is always upwards

• It is always to the right

• It can be either right or left

• It is always to the left

What is the main takeaway regarding the slope's denominator?

• It does not affect the graph

• It should always be negative

• It should always be positive

• It can be negative for convenience