Linear Relationships Review

Front

What is a linear relationship?

Back

A linear relationship is a relationship between two variables that can be represented by a straight line on a graph, where one variable is a constant multiple of the other plus a constant.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of the dependent variable with respect to the independent variable. It indicates how much the dependent variable changes for a unit change in the independent variable.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant factor that relates two proportional quantities, often represented as 'k' in the equation y = kx.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the equation of a line in slope-intercept form?

Back

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

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept represents the value of the dependent variable when the independent variable is zero.

Front

If a line has a slope of 0, what does that indicate?

Back

A slope of 0 indicates that the line is horizontal, meaning there is no change in the dependent variable as the independent variable changes.

Front

What is the difference between a positive and negative slope?

Back

A positive slope indicates that as the independent variable increases, the dependent variable also increases. A negative slope indicates that as the independent variable increases, the dependent variable decreases.

Front

How can you determine if a relationship is proportional from a graph?

Back

A relationship is proportional if the graph passes through the origin (0,0) and is a straight line.

Front

Write the equation for a job that pays $12 per hour with a starting amount of $30.

Back

y = 12x + 30.