Graphing Linear Functions in Standard Form

The video tutorial covers graphing linear functions, focusing on horizontal and vertical lines, and x and y intercepts. It explains that y equals a number results in a horizontal line, while x equals a number results in a vertical line. The tutorial also demonstrates how to find intercepts using standard form equations, providing examples and emphasizing the importance of understanding these concepts for graphing. The session concludes with a preview of class activities and word problems.

What is the primary focus of Chapter 4?

• Learning about trigonometric functions

• Understanding polynomial functions

• Graphing linear functions

• Solving quadratic equations

Which of the following represents a horizontal line?

• y = -3

• x = 5

• x + y = 2

• y = 2x + 1

Why is y = a number considered a horizontal line?

• Because the x-values are constant

• Because the x-axis is horizontal

• Because the y-values are constant

• Because it passes the vertical line test

Which of the following is true about x = a number?

• It passes the horizontal line test

• It represents a vertical line

• It is a function

• It represents a horizontal line

How can you graph a line if you are confused about its equation?

• Use a protractor

• Guess the points

• Create a table of values

• Use a calculator

What is the x-intercept of a graph?

• The point where the line crosses the y-axis

• The slope of the line

• The y-coordinate when x is zero

• The x-coordinate when y is zero

What is the y-intercept of a graph?

• The slope of the line

• The point where the line crosses the x-axis

• The y-coordinate when x is zero

• The x-coordinate when y is zero

In the equation 3x + 4y = 12, what is the x-intercept?

• (0, 3)

• (3, 0)

• (4, 0)

• (0, 4)

In the equation 3x + 4y = 12, what is the y-intercept?

• (0, 3)

• (4, 0)

• (3, 0)

• (0, 4)

What is the first step to find the x-intercept of the equation ax + by = c?

• Divide by a

• Set y to zero

• Divide by b

• Set x to zero