Graphing Linear Functions in Standard Form

The video tutorial covers graphing linear functions in standard form, focusing on understanding the standard form equation, graphing horizontal and vertical lines, and using x and y-intercepts to graph linear equations. It also includes a real-world application problem involving budgeting at an amusement park. The lesson aims to help students master these concepts through clear explanations and practice exercises.

What is the standard form of a linear equation?

• ax^2 + by = c

• ax + by = c

• ax + by^2 = c

• ax^2 + by^2 = c

Which condition is true for the coefficients in the standard form of a linear equation?

• a and b can both be zero

• a, b, and c must be integers

• a, b, and c can be fractions

• c must be a negative integer

What does the equation 'y = b' represent?

• A vertical line

• A horizontal line

• A quadratic function

• A point on the x-axis

What is the graph of the equation x = 5 an example of?

• A vertical line

• A horizontal line

• A parabola

• A hyperbola

If a line in standard form has a = 0, what type of line is it?

• Curved

• Diagonal

• Vertical

• Horizontal

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

• (0, 4)

• (6, 0)

• (0, 6)

• (4, 0)

How do you find the y-intercept of a line in standard form?

• Set y to 0 and solve for x

• Divide x by the coefficient of y

• Set x to 0 and solve for y

• Multiply x and y by the coefficient of x

How do you graph a line using x and y-intercepts?

• Plot only the y-intercept and draw a horizontal line

• Plot only the x-intercept and draw a vertical line

• Plot the intercepts and draw a straight line through them

• Plot the intercepts and draw a curve through them

In the context of the amusement park problem, what does the x-intercept represent?

• Maximum number of ice creams that can be bought with no ride tickets

• Maximum number of ride tickets that can be bought with no ice creams

• Total amount of money spent

• Price per ice cream

What does the y-intercept indicate in the amusement park example?

• Cost per ride ticket

• Total budget in dollars

• Number of ride tickets bought with no ice creams

• Number of ice creams bought