Understanding Slope and Coordinates

The video tutorial provides an analysis of a summary table from Unit 4, Lesson 12, focusing on the behavior of graphs in four parts. Initially, graphs with positive slopes decrease to zero, forming a horizontal line. As the lines pass the horizontal line, they transition to negative slopes, increasing in a negative direction. The third part discusses parallel lines with undefined solutions, where the slopes are negative three-fourths. Finally, the video examines increasing negative slopes and their impact on x-values, highlighting how the x-coordinate becomes smaller as the difference becomes positive.

What happens to the slope of the second equations as they approach a horizontal line?

• It becomes zero.

• It becomes positive.

• It becomes undefined.

• It becomes negative.

What is the initial value of the slope in the first part of the video?

• Positive five

• Negative three-fourths

• Zero

• Negative five

As the lines go past the horizontal line, what happens to the slope?

• It remains constant.

• It increases as a negative value.

• It becomes zero.

• It becomes positive.

What is the slope of the lines when they are parallel?

• Undefined

• Positive five

• Zero

• Negative three-fourths

What is the behavior of the lines when the solution is undefined?

• They intersect.

• They form a vertical line.

• They are parallel.

• They form a horizontal line.

What happens to the x-coordinate as the slope continues to increase in a negative direction?

• It gets larger.

• It remains constant.

• It becomes undefined.

• It gets smaller.

What happens to the slope as the lines become more slanted in a negative direction?

• It becomes undefined.

• It decreases.

• It increases.

• It becomes zero.

When the difference becomes positive, what happens to the x-coordinate?

• It remains unchanged.

• It moves away from the y-axis.

• It becomes undefined.

• It moves closer to the y-axis.

As the difference becomes larger and positive, what happens to the x-coordinate?

• It remains constant.

• It becomes undefined.

• It becomes smaller.

• It becomes larger.

What is the final slope value mentioned in the video?

• Negative five

• Positive five

• Zero

• Negative three-fourths