Linear Functions Attributes

What is the slope of a linear function?

• The slope of a linear function is equal to the y-intercept

• The slope of a linear function is constant and can be calculated as the change in y divided by the change in x.

• The slope of a linear function changes constantly

• The slope of a linear function is always negative

How is the y-intercept represented in the equation of a linear function?

• By the constant term (b) in the equation y = mx + b.

• By the coefficient of x in the equation y = mx + b.

• By the x-intercept in the equation y = mx + b.

• By the slope (m) in the equation y = mx + b.

Explain the concept of domain and range in relation to linear functions.

• Domain refers to the input values, and range refers to the output values of a linear function.

• Domain is the output values, and range is the input values of a linear function.

• Domain represents the vertical axis, and range represents the horizontal axis in linear functions.

• Domain and range are interchangeable terms in linear functions.

What does the graph of a linear function look like?

• The graph of a linear function is a straight line.

• The graph of a linear function is a parabola.

• The graph of a linear function is a circle.

• The graph of a linear function is a sine wave.

How can you determine if a given equation represents a linear function?

• Ensure the equation has a constant term

• Verify if the equation contains trigonometric functions

• Check if the highest power of the variable is 1 and if the equation is in the form y = mx + b.

• Check if the equation has a square root term

What is the standard form of a linear function?

• y = ax + b

• y = mx + b

• y = mx + c

• y = mx - b

Describe the relationship between the slope of a linear function and its graph.

• The slope of a linear function has no impact on its graph

• The slope of a linear function determines the color of the graph

• The slope of a linear function changes the shape of the graph

• The slope of a linear function determines the direction and steepness of the line on the graph.

How do you calculate the slope of a line given two points on the line?

• slope = (x2 - x1) / (y2 - y1)

• slope = (y1 - y2) / (x1 - x2)

• slope = (y2 - y1) * (x2 - x1)

• slope = (y2 - y1) / (x2 - x1)

What is the significance of the x-intercept in the graph of a linear function?

• The x-intercept shows where the function crosses the x-axis and the value of x when y is zero.

• The x-intercept is the point where the function is undefined

• The x-intercept represents the maximum value of the function

• The x-intercept indicates the slope of the function

Explain the concept of parallel and perpendicular lines in the context of linear functions.

• Parallel lines intersect at one point in linear functions

• In the context of linear functions, parallel lines have the same slope, while perpendicular lines have slopes that are negative reciprocals of each other.

• Parallel lines have different slopes in linear functions

• Perpendicular lines have the same slope in linear functions