Understanding Slope and Line Types

The video tutorial explains how to find the slope of a line given two points and determine if the line is increasing, decreasing, horizontal, or vertical. It provides examples for each type of line: a decreasing line with a negative slope, a vertical line with an undefined slope, an increasing line with a positive slope, and a horizontal line with a zero slope. The tutorial uses coordinate plane illustrations to enhance understanding.

What is the slope of a line passing through the points (4, -7) and (-2, 3)?

• -3/5

• 5/3

• 3/5

• -5/3

If a line has a negative slope, what can we say about the line?

• It is vertical

• It is increasing

• It is decreasing

• It is horizontal

What is the slope of a line passing through the points (4, -7) and (-2, 3) when simplified?

• 3/5

• 5/3

• -5/3

• -3/5

What is the slope of a line passing through the points (2, -3) and (2, 6)?

• 0

• Undefined

• 1

• -1

Why is the slope of a vertical line undefined?

• Because both changes are zero

• Because the line is horizontal

• Because the change in X is zero

• Because the change in Y is zero

What is the slope of a line passing through the points (-4, -2) and (6, 3)?

• -2

• 2

• 1/2

• -1/2

If a line has a positive slope, what can we say about the line?

• It is vertical

• It is horizontal

• It is increasing

• It is decreasing

What happens to the Y values as X increases in a line with a positive slope?

• Y values increase

• Y values become undefined

• Y values decrease

• Y values remain constant

What is the slope of a line passing through the points (-3, -3) and (1, -3)?

• Undefined

• -1

• 0

• 1

Why is the slope of a horizontal line zero?

• Because the change in Y is zero

• Because the line is vertical

• Because the change in X is zero

• Because both changes are zero