Exploring Graphing Proportional Relationships

What are the three main objectives of this video?

• Recognizing direct proportion in a graph, finding the constant of proportionality from a graph, and graphing direct proportion from a table

• Understanding fractions, decimals, and percentages

• Exploring geometric shapes, angles, and the Pythagorean theorem

• Learning about quadratic equations, solving linear equations, and graphing parabolas

What is a key characteristic of a graph that shows direct proportion?

• It passes through the point (1,1)

• It lies along the vertical axis

• It is a straight line through the origin

• It is a curved line

Which of the following graphs represents a direct proportion?

• A graph that is a straight line but does not pass through the origin

• A graph that is a curved line passing through the origin

• A graph that lies along the horizontal axis

• A graph that is a straight line passing through the origin

In the context of direct proportion, what is the origin?

• The highest point on the graph

• The point (0,0) where the x and y axes cross

• The point where the graph intersects the x-axis

• The point where the graph intersects the y-axis

How do you find the constant of proportionality (K) from a graph?

• By adding the x and y coordinates

• By dividing the y-coordinate by the x-coordinate

• By multiplying the x and y coordinates

• By dividing the x-coordinate by the y-coordinate

If a point on a graph has coordinates (3,3), what is the constant of proportionality (K)?

• 9

• 0

• 1

• 3

What equation represents a direct proportion if the constant of proportionality (K) is 1?

• Y = X - 1

• Y = 2X

• Y = X

• Y = X + 1

When graphing direct proportion from a table, what is the first step?

• Plotting the origin (0,0)

• Labeling the axes

• Drawing a curved line

• Connecting points with a dashed line

If you have the points (1,3) and (2,6) on a graph, what should the next point be to maintain direct proportion?

• (3,6)

• (3,9)

• (3,12)

• (3,8)

What is the final step in graphing direct proportion from a table?

• Erasing the table

• Labeling the points

• Connecting the points with a straight line

• Drawing a curved line through the points