Linear Functions and Formulas

This video lesson explains how to match linear functions to their corresponding graphs on a coordinate plane. It begins by analyzing the slopes of the functions, identifying which are negative and which are positive. The lesson then uses y-intercepts to further distinguish between graphs with similar slopes. An alternative method of using point substitution is also demonstrated to verify the matches. The video concludes with a final verification of the matches, ensuring that each function corresponds to the correct graph.

What is the main task described in the video lesson?

• To match linear functions to their graphs

• To solve quadratic equations

• To calculate the area of a triangle

• To find the roots of a polynomial

How many linear functions are given in the problem?

• Five

• Four

• Three

• Two

Which of the following slopes is considered negative?

• 3

• -5

• 1

• 2

Which lines on the graph have a negative slope?

• Lines A and D

• Lines A and B

• Lines B and C

• Lines C and D

What characteristic of line B helps identify it as corresponding to formula number two?

• It is steeper than line A

• It has a positive slope

• It passes through the origin

• It is less steep than line A

What is the slope of function two?

• -2

• -5

• 3

• 1

Which line is steeper, A or B?

• Line A

• Line B

• Both are equally steep

• Neither is steep

What is the slope of function three?

• 1

• 3

• -5

• -2

Which line is less steep, A or B?

• Both are equally steep

• Line B

• Neither is steep

• Line A

What is the y-intercept of function one?

• 3

• 0

• -2

• 1