Understanding Linear Functions and Graphs

The video tutorial explains how to identify linear functions by plotting ordered pairs on a coordinate plane and analyzing their alignment. It covers positive and negative slopes, correlations, and how to determine outputs from graphs. The tutorial also distinguishes between linear and non-linear functions, emphasizing the importance of slope direction and point spacing.

What is the main characteristic of a linear function when plotted on a graph?

• The points are scattered randomly.

• The points form a zigzag pattern.

• The points align in a straight line.

• The points form a circle.

If both x and y values increase, what type of slope does the line have?

• Negative slope

• Zero slope

• Positive slope

• Undefined slope

Which quadrant would the point (4, -6) be located in?

• Quadrant 4

• Quadrant 3

• Quadrant 2

• Quadrant 1

What indicates a negative correlation in a set of points?

• x values decrease while y values increase.

• x values increase while y values decrease.

• Both x and y values decrease.

• Both x and y values increase.

How can you identify a linear function when points are not equally spaced?

• The points still align along a straight line.

• The points form a triangle.

• The points form a perfect square.

• The points are scattered.

What is a key feature of a non-linear function on a graph?

• The points form a perfect circle.

• The points do not align in a straight line.

• The points form a straight line.

• The points are all in one quadrant.

When given an x value, how do you determine the corresponding y value on a graph?

• By looking at the x-axis only.

• By finding where the x value intersects the line.

• By checking the y-axis only.

• By guessing the y value.

What should you do if the points on a graph do not align perfectly?

• Ignore the points.

• Draw a new line.

• Use only the x values.

• Estimate the closest value.

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

• Undefined slope

• Zero slope

• Negative slope

• Positive slope

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

• The slope is undefined.

• The graph is non-linear.

• The point is on the line.

• The point is not on the line.