Analyzing Domains and Ranges of Lines

The video tutorial explains how to write linear equations by determining the slope and y-intercept. It covers the blue line's equation using the slope-intercept form and the red line's equation using the point-slope form. The tutorial also discusses finding the domain and range for both lines and introduces equations for horizontal and vertical lines.

What is the first step in writing a linear equation?

• Identifying the slope

• Drawing the graph

• Finding the y-intercept

• Choosing a random point

How do you calculate the slope of a line?

• By finding the difference in y-values over the difference in x-values

• By dividing the y-intercept by the x-intercept

• By multiplying the x and y coordinates

• By adding the x and y coordinates

What is the slope of the blue line?

• 1/2

• 1/3

• 3/4

• 2/3

What is the y-intercept of the blue line?

• 4

• 2

• 3

• 5

What is the equation of the blue line?

• y = 3/4x + 3

• y = 1/3x + 3

• y = 2/3x + 3

• y = 1/2x + 3

Why can't we see the y-intercept of the red line?

• The y-intercept is zero

• The graph does not extend to the y-axis

• The line is vertical

• The line is horizontal

What is the slope of the red line?

• 1/3

• 2/3

• -1/3

• -2/3

Which point is used to write the equation of the red line?

• (9, 3)

• (2, 3)

• (3, 9)

• (3, 2)

What is the equation of the red line in point-slope form?

• y - 3 = -2/3(x - 9)

• y - 3 = 1/3(x - 9)

• y - 3 = 2/3(x - 9)

• y - 3 = -1/3(x - 9)

What is the equation of the red line in slope-intercept form?

• y = 2/3x + 9

• y = -2/3x + 9

• y = 2/3x + 6

• y = -2/3x + 6