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

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how much y changes for a one-unit increase in x.

Front

What is the y-intercept in a linear equation?

Back

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

Front

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

Back

To determine if (x,y) is a solution, plug the values of x and y into the equation. If the equation holds true (is satisfied), then (x,y) is a solution.

Front

What does it mean for a graph to be decreasing?

Back

A graph is decreasing if, as the x-values increase, the y-values decrease. This means the slope of the line is negative.

Front

How do you find the cost for multiple months of a subscription service?

Back

To find the total cost for multiple months, use the formula: Total Cost = Sign-up Fee + (Monthly Fee × Number of Months).

Front

What is the formula for calculating the slope between two points (x1, y1) and (x2, y2)?

Back

The formula for calculating the slope (m) is: m = (y2 - y1) / (x2 - x1).

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output (y) for each input (x). In other words, for every x-value, there is one and only one corresponding y-value.

Front

What does it mean for a graph to be increasing?

Back

A graph is increasing if, as the x-values increase, the y-values also increase. This means the slope of the line is positive.

Front

How can you represent a linear equation graphically?

Back

A linear equation can be represented graphically by plotting points that satisfy the equation and connecting them to form a straight line.