7.7A/8.5I Extra Practice

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 unit change 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 the equation of a line from a graph?

Back

To determine the equation of a line from a graph, identify two points on the line, calculate the slope (m) using the formula (y2 - y1) / (x2 - x1), and use one of the points to solve for the y-intercept (b). Then, write the equation in the form y = mx + b.

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

How can you identify a function from a set of ordered pairs?

Back

A set of ordered pairs represents a function if no two different pairs have the same first element (input). Each input must correspond to exactly one output.

Front

What does it mean for a relationship to be proportional?

Back

A relationship is proportional if it can be expressed as y = kx, where k is a constant. In a proportional relationship, the ratio of y to x is constant.

Front

What is the difference between a direct variation and an inverse variation?

Back

In direct variation, y = kx, meaning as x increases, y increases. In inverse variation, y = k/x, meaning as x increases, y decreases.

Front

How do you interpret a table of values?

Back

To interpret a table of values, look for patterns in how the values of x and y change. Determine if there is a consistent relationship, such as linear or proportional.

Front

What is the equation for the cost of downloading movies?

Back

The equation for the cost of downloading m movies is c = 2.99m + 119, where c is the total cost, 2.99 is the cost per movie, and 119 is the yearly membership fee.