Exploring Slope and Intercept Concepts

The video tutorial covers the concepts of slope, rate of change, and intercepts. It begins with an introduction to foldables and the rate of change, followed by a detailed explanation of slope, including positive and negative slopes. The tutorial then explores how to use XY tables to determine the rate of change, distinguishing between constant and variable rates. Graphing techniques and unit rate calculations are demonstrated, emphasizing data analysis. Finally, the video explains how to find intercepts from graphs and equations, providing a comprehensive understanding of these mathematical concepts.

What is another term for slope?

• Gradient

• Rate of change

• Rise over run

• Intercept

How do you determine the slope of a line that goes up 2 units and right 3 units?

• 1/2

• 2/3

• 3/2

• 2

What is the slope of a horizontal line?

• Undefined

• Negative

• Positive

• Zero

Which formula is used to find the slope between two points?

• (y1 - y2) / (x1 - x2)

• (x1 - x2) / (y1 - y2)

• (y2 - y1) / (x2 - x1)

• (x2 - x1) / (y2 - y1)

What is the slope of a line passing through points (5, 1) and (8, 3)?

• 2/3

• 1/3

• 3

• 3/2

What does a constant rate of change indicate?

• The slope varies between points

• The slope is the same between all points

• The slope is undefined

• The slope is zero

How do you find the unit rate from a given rate?

• Multiply both terms by the same number

• Divide both terms by the same number

• Subtract both terms

• Add both terms

What is the unit rate if you have 60 pencils in 5 packages?

• 20 pencils per package

• 10 pencils per package

• 15 pencils per package

• 12 pencils per package

Where does the x-intercept occur on a graph?

• Where the line crosses the y-axis

• Where the line crosses the x-axis

• At the origin

• At the highest point of the line

How do you find the y-intercept from the equation 3x - 4y = 12?

• Set x to 0 and solve for y

• Set y to 0 and solve for x

• Set both x and y to 0

• Solve for x and y simultaneously