Linear Functions and Their Characteristics

This video tutorial teaches how to identify a third ordered pair in a linear function using the concept of equal differences on equal intervals. It explains the growth of linear functions, the concept of constant slope, and demonstrates how to find additional points on a linear function using known points. The tutorial includes examples and practice exercises to reinforce the learning.

What is the main concept introduced in this lesson?

• Finding the slope of a linear function

• Naming a third ordered pair in a linear function

• Naming a third ordered pair in a quadratic function

• Finding the slope of a quadratic function

What characteristic do linear functions have according to the lesson?

• They grow by equal differences on unequal intervals

• They have a variable slope

• They have a constant slope

• They grow by unequal differences on equal intervals

How can you find additional points on a linear function?

• By using the midpoint formula

• By using the quadratic formula

• By calculating the area under the curve

• By applying equal differences between known points

What is the x interval length between the points (-6, -3) and (-3, -1)?

• 5

• 2

• 3

• 4

What is the y interval length between the points (-6, -3) and (-3, -1)?

• 2

• 4

• 3

• 1

What new point is found by adding 3 to x and 2 to y from the point (-3, -1)?

• (3, 2)

• (2, 3)

• (1, 0)

• (0, 1)

What is the next point predicted on the line after (3, 3) using the same differences?

• (7, 6)

• (6, 5)

• (5, 5)

• (4, 4)

What operation is performed to find the x value in the x-y table example?

• Subtract 2

• Add 2

• Multiply by 2

• Divide by 2

What operation is performed to find the y value in the x-y table example?

• Add 6

• Divide by 6

• Subtract 6

• Multiply by 6

What is the new ordered pair found using the x-y table method?

• (5, -5)

• (6, -6)

• (7, -7)

• (8, -8)