8th Unit 3 Test Review: Linear Relationships

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. It can be described by a linear equation of the form y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you determine if an (x,y) ordered pair is a solution of an equation?

Back

You plug the (x,y) ordered pair into the equation and check if the equation holds true.

Front

What does the slope of a line represent?

Back

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

Front

How do you calculate the slope given 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 y-intercept in a linear equation?

Back

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

Front

What does it mean if a graph is increasing?

Back

A graph is increasing if, as x values increase, the corresponding y values also increase.

Front

What does it mean if a graph is decreasing?

Back

A graph is decreasing if, as x values increase, the corresponding y values decrease.

Front

What is the difference between a positive slope and a negative slope?

Back

A positive slope indicates that the line rises as it moves from left to right, while a negative slope indicates that the line falls as it moves from left to right.

Front

How can you identify the steepness of a line on a graph?

Back

The steepness of a line is determined by its slope; a larger absolute value of the slope indicates a steeper line.

Front

What is a horizontal line's slope?

Back

A horizontal line has a slope of 0, meaning there is no change in y as x changes.