Exploring Slope Concepts in CG 3 1

This video tutorial reviews the concept of slope in coordinate geometry, revisiting algebraic principles. It introduces Mr. Slope Guy to help remember the four types of slopes: positive, negative, undefined, and zero. The tutorial explains how to calculate slope using the rise over run method and the slope formula. It also covers the properties of parallel and perpendicular lines, emphasizing that parallel lines have equal slopes, while perpendicular lines have slopes that are opposite reciprocals.

What type of slope does a line have if it rises to the right?

• Undefined

• Zero

• Negative

• Positive

Which part of Mr. Slope Guy represents an undefined slope?

• Right eyebrow

• Left eyebrow

• Nose

• Mouth

What is the formula for calculating slope?

• (X1 - X2) / (Y1 - Y2)

• (Y1 - Y2) / (X1 - X2)

• (Y2 - Y1) / (X2 - X1)

• (X2 - X1) / (Y2 - Y1)

What does 'rise over run' refer to in slope calculation?

• Difference in X values over difference in Y values

• Difference in Y values over difference in X values

• Sum of X and Y values

• Product of X and Y values

If a line drops 7 units and runs 10 units to the right, what is its slope?

• 10/7

• -10/7

• 7/10

• -7/10

What is the slope of a line passing through points (5, 2) and (-6, 18)?

• 11/16

• -11/16

• 16/11

• -16/11

What is the slope of a line parallel to a line with a slope of 5/3?

• -3/5

• 3/5

• -5/3

• 5/3

What is the relationship between the slopes of parallel lines?

• They are perpendicular

• They are equal

• They are negative reciprocals

• They are positive reciprocals

What is the slope of a line perpendicular to a line with a slope of 5/3?

• -3/5

• 3/5

• -5/3

• 5/3

What is the product of the slopes of two perpendicular lines?

• 1

• 0

• -1

• Undefined