Finding Additional Points on a Linear Function

The video tutorial explains how linear functions grow by equal differences on equal intervals, emphasizing the concept of constant slope. It demonstrates how to find additional points on a linear function using known points and intervals. The tutorial also covers creating an XY table to identify ordered pairs that belong to the same linear function, illustrating the process with examples.

What is a key characteristic of linear functions?

• They have a variable slope.

• They grow by unequal differences.

• They have a constant slope.

• They do not have a slope.

If a linear function passes through the points (-6, -3) and (-3, -1), what is the length of the X interval?

• 5

• 4

• 3

• 2

How can you find a new point on a linear function if you know two existing points?

• By adding random numbers to the coordinates.

• By subtracting the differences in X and Y intervals.

• By applying the same differences in X and Y intervals.

• By guessing the next point.

What is the result of adding 2 to the X value and subtracting 6 from the Y value in the XY table?

• (5, -1)

• (0, 1)

• (7, -7)

• (3, 3)

Which of the following is true about generating new ordered pairs on a linear function?

• There is only one way to generate new pairs.

• Multiple methods can be used to generate new pairs.

• New pairs cannot be generated once the function is defined.

• New pairs are generated by changing the slope.