Graphing Linear Functions in Standard Form

The video tutorial covers graphing linear functions in standard form, focusing on horizontal and vertical lines, and using x and y-intercepts for graphing. It explains the standard form equation Ax + By = C, emphasizing that A, B, and C must be integers. The tutorial includes practical examples, such as graphing lines like y = -3 and x = 5, and solving real-world problems using standard form equations. The video concludes with a real-world example involving an amusement park scenario, demonstrating how to interpret x and y-intercepts in practical contexts.

What is the standard form of a linear equation?

• y = Ax + C

• Ax + By = C

• y = mx + b

• x = Ay + B

In the standard form equation Ax + By = C, which of the following is true?

• C must be a positive number

• A, B, and C must be integers

• A and B can both be zero

• A, B, and C can be fractions

What is the equation of a horizontal line?

• x = a

• y = b

• Ax + By = C

• y = mx + b

Which of the following is true about vertical lines?

• They have a y-intercept

• They have the form x = a

• They are functions

• They pass the vertical line test

How do you find the x-intercept of a linear equation in standard form?

• Set both x and y to 0

• Set y to 0 and solve for x

• Set x to 0 and solve for y

• Solve for y when x is 1

What is the y-intercept of the equation 3x + 2y = 12?

• (0, 4)

• (6, 0)

• (0, 6)

• (4, 0)

In the equation 2x - y = 6, what is the x-intercept?

• (0, 3)

• (6, 0)

• (3, 0)

• (0, -6)

What does the x-intercept represent in the amusement park problem?

• The total money spent

• The number of friends at the park

• The number of ice creams bought

• The number of ride tickets bought

If you buy 24 ride tickets, how many ice creams can you buy according to the amusement park problem?

• 0

• 40

• 12

• 24

What does the y-intercept represent in the amusement park problem?

• The number of friends at the park

• The total money spent

• The number of ice creams bought

• The number of ride tickets bought