Understanding Linear Functions and Graphs

The video tutorial explains how to identify linear functions using tables and graphs. It covers plotting ordered pairs on a coordinate plane, determining if a set of points forms a linear function, and understanding positive and negative slopes. The tutorial also discusses non-linear functions and how to estimate points on a line. By the end, viewers should be able to recognize linear functions and understand the concept of slope.

What indicates that a set of points represents a linear function?

• The points align in a straight line.

• The points form a circle.

• The points form a zigzag pattern.

• The points are scattered randomly.

What type of slope is indicated when both x and y values increase?

• Undefined slope

• Zero slope

• Negative slope

• Positive slope

How can you identify a negative slope from a set of points?

• X values decrease while y values increase.

• Both x and y values increase.

• Both x and y values decrease.

• X values increase while y values decrease.

What does it mean if points are not equally spaced but still form a line?

• The points are incorrectly plotted.

• The function is linear.

• The function is non-linear.

• The slope is zero.

Which quadrant would the point (-2, -5) be located in?

• Quadrant 3

• Quadrant 2

• Quadrant 4

• Quadrant 1

What should you do if plotted points do not align in a straight line?

• Replot the points.

• Ignore the points.

• Consider the function non-linear.

• Consider the function linear.

When given an input of x, how do you determine the output using a graph?

• Ignore the graph and use a table.

• Estimate the y value based on the x value.

• Use the x value as the y value.

• Find where the x value aligns on the y-axis.

What should you do if a point does not align perfectly on a graph?

• Use the nearest integer.

• Ignore the point.

• Estimate the closest value.

• Panic and start over.

What kind of slope is indicated if a line goes downward from left to right?

• Negative slope

• Positive slope

• Undefined slope

• Zero slope

If an input of 6 gives an output of 6 on a graph, what does this indicate?

• The point (6, 6) is on the line.

• The graph is undefined.

• The graph has a zero slope.

• The graph is non-linear.