Extra Credit Unit 5 Lesson 1 Slope and Parallel Lines

What is the primary focus of Unit 5 in Geometry?

• Euclidean geometry and theorems

• Coordinate geometry and tools for geometric figures

• Trigonometry and angle relationships

• Area and perimeter calculations

How is the slope of a line or line segment defined?

• The ratio of the change in x to the change in y

• The product of the change in x and the change in y

• The ratio of the change in y to the change in x

• The sum of the change in x and the change in y

What is the slope of line segment AB?

• 2

• 1/2

• -1/2

• 5

What is the slope of line segment CD?

• 4/3

• -3/4

• -4/3

• 3/4

When calculating the slope of a line segment using two points (x1, y1) and (x2, y2), what is crucial for obtaining the correct result?

• Always subtract the smaller x-coordinate from the larger x-coordinate.

• Always subtract the smaller y-coordinate from the larger y-coordinate.

• Maintain the same order of subtraction for both the x and y coordinates.

• The order of subtraction does not affect the final slope value.

Which of the following expressions correctly represents the slope (m) of a line passing through two points (x1, y1) and (x2, y2)?

• m = (y2 - y1) / (x2 - x1)

• m = (x2 - x1) / (y2 - y1)

• m = (x1 + x2) / (y1 + y2)

• m = (y1 - x1) / (y2 - x2)

What is the slope of the line segment with endpoints A(-2,4) and B(8,10)?

• 3/5

• 5/3

• -3/5

• -5/3

What is the slope of the line segment with endpoints E(2,11) and F(-2,3)?

• -2

• 1/2

• 2

• -1/2

What is the constant vertical distance between the two parallel lines shown in the graph?

• 3 units

• 4 units

• 5 units

• 6 units

What is the slope of line m, given the points (3,1) and (9,5)?

• 1/2

• 2/3

• 3/2

• 4/3