Understanding Linear Functions and Slope

This video tutorial explores linear functions, focusing on graphing them on the coordinate plane. It covers how different representations of linear functions—verbal descriptions, tables, graphs, and equations—are interconnected. The tutorial provides examples of converting between these forms, emphasizing the importance of understanding slopes and y-intercepts. By the end, viewers should be able to interpret and create linear function representations effectively.

What is the primary learning target of this lesson?

• To understand polynomial functions

• To graph linear functions on the coordinate plane

• To solve quadratic equations

• To explore exponential growth

Which of the following is NOT a representation of a linear function?

• Quadratic equation

• Verbal description

• Graph

• Table

If a line has a y-intercept at (0, 5) and a slope of -2, what is the equation of the line?

• y = -2x - 5

• y = -2x + 5

• y = 2x + 5

• y = 2x - 5

What is the first step in graphing a line from a verbal description?

• Find the x-intercept

• Plot the y-intercept

• Calculate the slope

• Draw the axis

How do you interpret points from a graph to fill a table?

• By guessing the values

• By using the slope formula

• By calculating the midpoint

• By reading the coordinates directly from the graph

What is the equation of a line with a slope of -2 and y-intercept of 5?

• y = 2x - 5

• y = 2x + 5

• y = -2x - 5

• y = -2x + 5

What is the y-intercept of the line represented by the table with initial value at (0, -1)?

• (0, 1)

• (-1, 0)

• (0, -1)

• (1, 0)

How do you determine the slope from a table of values?

• By dividing the change in y by the change in x

• By adding the x and y values

• By finding the difference in y-values

• By finding the difference in x-values

What is the slope of a line if the change in y is -2 and the change in x is 1?

• 2

• -2

• -1

• 1

What is the first step when given a graph to find the equation?

• Draw a tangent line

• Calculate the midpoint

• Identify the y-intercept

• Identify the x-intercept