Understanding Linear Relationships

What is a linear relationship?

• A relationship between two variables that can be represented by a straight line.

• A relationship between three variables that forms a triangle.

• A relationship that shows no correlation between the variables.

• A relationship that can only be represented by a curve.

Define constant rate of change.

• A constant rate of change is a consistent change in a quantity over time, represented by a linear function.

• A constant rate of change only applies to exponential growth.

• A constant rate of change varies unpredictably over time.

• A constant rate of change is represented by a quadratic function.

How do you calculate the slope of a line?

• slope = (x2 + x1) / (y2 + y1)

• m = (y2 - y1) / (x2 - x1)

• m = (y1 + y2) / (x1 + x2)

• m = (x1 - x2) / (y1 - y2)

What does 'rise' refer to in slope calculations?

• The vertical change in slope calculations.

• The angle of inclination in slope calculations.

• The total distance covered in slope calculations.

• The horizontal change in slope calculations.

What does 'run' refer to in slope calculations?

• The total distance between two points on a graph.

• The vertical change in y-coordinates between two points.

• The horizontal change in x-coordinates between two points.

• The angle of inclination of a line on a graph.

Explain direct variation.

• Direct variation describes a linear relationship where y = kx, with k being a constant.

• Direct variation describes a relationship where y decreases as x increases.

• Direct variation means y is always equal to k regardless of x.

• Direct variation is a quadratic relationship where y = kx^2.

What is the constant of variation?

• k = x/y

• k = y/x

• k = y + x

• k = y - x

Define constant of proportionality.

• The constant of proportionality is the difference between two proportional quantities.

• The constant of proportionality is the sum of two proportional quantities.

• The constant of proportionality is a fixed value that changes with the quantities.

• The constant of proportionality is the ratio between two proportional quantities.

What is the y-intercept of a line?

• The y-intercept is the value of x when y = 0.

• The y-intercept is the slope of the line.

• The y-intercept is the point where the line crosses the x-axis.

• The y-intercept is the value of y when x = 0.

What is the slope-intercept form of a linear equation?

• y = b + mx

• y = mx + b

• y = mx - b

• y = m + bx