Calculating Slope and Analyzing Line Relationships

The video tutorial covers the concept of slope, explaining it as the rate of change and rise over run. It discusses how to calculate slope from graphs or coordinates, and how to identify parallel and perpendicular lines based on their slopes. The tutorial includes practical examples and exercises to reinforce understanding, and introduces memory aids like 'Hoy' and 'VUX' for horizontal and vertical lines.

What is another term for slope?

• Vertical shift

• Gradient

• Rate of change

• Angle of inclination

How is slope calculated?

• Difference between X and Y coordinates

• Change in X divided by change in Y

• Change in Y divided by change in X

• Sum of X and Y coordinates

What type of slope does a line have if it is increasing from left to right?

• Undefined

• Zero

• Negative

• Positive

What does the 'H' in the memory trick 'Hoy' stand for?

• Horizon

• Hypotenuse

• Height

• Horizontal

If a line has a slope of zero, what type of line is it?

• Diagonal

• Undefined

• Horizontal

• Vertical

What is the slope of a line that goes down two blocks and right two blocks?

• -1

• 1

• 2

• -2

What is the slope of a line passing through the points (3, 10) and (9, 2)?

• 3/4

• -3/4

• -4/3

• 4/3

What is the slope of a line that is vertical?

• Zero

• Positive

• Negative

• Undefined

What is the relationship between two lines that have the same slope?

• They are skew lines

• They are perpendicular

• They are parallel

• They intersect at one point

What is the value of x if the line passing through the points (x, -7) and (1, 2) has a slope of 3?

• 2

• -2

• -1

• 1