Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other is constant. This can be represented by the equation y = kx, where k is a constant.

Front

Identify the equation that represents a proportional relationship: y = 0.5x + 1, y = 0.5x - 1, y = 0.5x, y = 2x + 4.

Back

y = 0.5x

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run (change in y over change in x).

Front

What is the y-intercept of a linear function?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

Given the slope = -1/4 and y-intercept = -1.5, write the equation of the line.

Back

y = -1/4x - 1.5

Front

What does the equation y = 6x + 30 represent in a real-world context?

Back

This equation represents the total cost (y) of renting a bike for x hours, where the rental cost is $6 per hour and there is a fixed fee of $30.

Front

How do you determine the equation of a line from a graph?

Back

To determine the equation of a line from a graph, identify the slope (rise/run) and the y-intercept (where the line crosses the y-axis).

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the rate of change of the dependent variable (y) with respect to the independent variable (x).

Front

If Frank and Erica have the same number of ribbons left to sell on Day 18, what does this imply about their selling rates?

Back

It implies that their selling rates are such that they will reach the same quantity of ribbons left at that specific time.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.