Graphing Non-Proportional Linear Relationships

This video tutorial covers the concept of non-proportional linear relationships, focusing on how to represent them using tables and graphs. It explains the difference between proportional and non-proportional relationships, emphasizing that non-proportional relationships do not pass through the origin. The tutorial provides a step-by-step example of graphing the equation y = 3x + 6, including selecting x-values, calculating corresponding y-values, and plotting these points on a graph. The video concludes with a review of plotting techniques and understanding graph features like the y-intercept and slope.

What does it mean for a relationship to be non-proportional?

• It has a constant rate of change and goes through the origin.

• It does not go through the origin and is not a direct variation.

• It is a curved line on a graph.

• It has a multiplicative relationship.

Which of the following is true about a linear relationship?

• It is always a curved line.

• It can be represented by a table or graph.

• It is always a direct variation.

• It must go through the point (0,0).

What is the first step in graphing a non-proportional linear equation?

• Find the y-intercept.

• Pick five x-values.

• Draw the coordinate plane.

• Calculate the slope.

Why is it important to pick x-values close to the origin when graphing?

• To ensure the line goes through the origin.

• To avoid large numbers on the graph.

• To make calculations easier.

• To make the graph look symmetrical.

What is the y-value when x is -2 in the equation y = 3x + 6?

• 6

• 0

• 3

• 12

What pattern is observed in the y-values when x-values increase by 1 in the equation y = 3x + 6?

• Y-values remain constant.

• Y-values decrease by 3.

• Y-values increase by 6.

• Y-values increase by 3.

What is the y-intercept in the equation y = 3x + 6?

• 6

• 0

• 9

• 3

Where does the line cross the y-axis in the equation y = 3x + 6?

• (0, 3)

• (0, 6)

• (3, 0)

• (6, 0)

What is the correct order of steps to graph a non-proportional linear equation?

• Pick x-values, find y-values, plot points, draw line.

• Find y-intercept, pick x-values, plot points, draw line.

• Calculate slope, pick x-values, find y-values, draw line.

• Draw coordinate plane, pick x-values, find y-values, plot points.

What does the first coordinate in an ordered pair represent?

• The y-value

• The y-intercept

• The slope

• The x-value