Understanding Slope from a Graph

The video tutorial explains how to find the slope of a line using a graph. It begins with a basic introduction to the concept of slope as the rise over run, or the change in y over the change in x. The tutorial then demonstrates how to calculate the slope using specific points on a graph, emphasizing the importance of direction (positive or negative) in the calculation. It also shows how the slope remains consistent regardless of the points chosen, reinforcing the concept with multiple examples.

What is the slope of a line in terms of rise and run?

• The sum of rise and run

• The difference between rise and run

• The product of rise and run

• The ratio of rise to run

What does the Greek letter Delta represent in the context of slope?

• The sum of changes

• The difference in values

• The change in values

• The product of values

If a line goes down by 1 unit and right by 2 units, what is the slope?

• -1/2

• -2

• 2

• 1/2

How does the direction of movement affect the sign of the slope?

• Right and down are positive, left and up are negative

• Right and up are negative, left and down are positive

• Right and down are negative, left and up are positive

• Right and up are positive, left and down are negative

What happens to the slope if you calculate it in the opposite direction?

• It becomes positive

• It becomes zero

• It remains the same

• It becomes undefined

If you move left by 2 units and up by 1 unit, what is the slope?

• 1/2

• -1/2

• 2

• -2

What is the slope if you move down by 2 units and right by 4 units?

• 1/4

• -1/2

• -1/4

• 1/2

Why does the slope remain consistent regardless of the points chosen?

• Because the rise and run are proportional

• Because the line is horizontal

• Because the points are equidistant

• Because the line is straight

What is the result of dividing a negative rise by a positive run?

• Negative slope

• Zero slope

• Undefined slope

• Positive slope

What is the key takeaway about slope from this tutorial?

• Slope changes with different points

• Slope is always negative

• Slope is always positive

• Slope remains the same regardless of points