Proportional Graphs: Key Concepts and Applications

This video tutorial explains proportional graphs, focusing on the concept of slope. It covers different names for slope, such as constant of proportionality, rate of change, and unit rate. The video demonstrates how to calculate slope using the rise over run method and provides examples of finding slope from equations and graphs. It emphasizes the importance of the origin in identifying proportional graphs and offers tips for simplifying slope calculations.

What is a key characteristic of a proportional graph?

• It passes through the origin (0,0).

• It forms a parabola.

• It passes through the point (1,1).

• It has a variable slope.

Which of the following is NOT a name for slope?

• Rate of change

• Unit rate

• Constant of proportionality

• Variable of change

What does the slope of a line represent?

• The width of the line

• The length of the line

• The steepness of the line

• The color of the line

In the equation y = mx, what does 'm' represent?

• The y-intercept

• The constant term

• The x-intercept

• The slope

If the equation is y = 4x, what is the slope?

• 4

• x

• y

• 0

How can you identify a proportional graph?

• It has a variable slope

• It does not intersect the y-axis

• It has a curved line

• It passes through the origin

What is the slope of a line that rises 3 units and runs 1 unit?

• 1/3

• 3

• 1

• 0

If a line goes up 5 units and runs 1 unit, what is the slope?

• 0

• 1/5

• 5

• 1

For the equation y = 1/3x, what is the slope?

• 1/3

• 3

• 1

• 0

If a graph counts by 10s on the y-axis and by 2s on the x-axis, what is the slope if it rises 10 units and runs 2 units?

• 2

• 1

• 5

• 10