Linear Relationships Practice

Front

What is the slope in a linear relationship?

Back

The slope is a measure of the steepness of a line, representing the rate of change of the dependent variable (y) with respect to the independent variable (x). It is calculated as the change in y divided by the change in x.

Front

How do you find the y-intercept of a linear equation?

Back

The y-intercept is the value of y when x is 0. It can be found by substituting x = 0 into the equation of the line.

Front

What does it mean for y to be a function of x?

Back

It means that for every value of x, there is exactly one corresponding value of y. This can be represented as ordered pairs (x, y).

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represent a point on a coordinate plane, where x is the horizontal coordinate and y is the vertical coordinate.

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

How can you determine if a set of ordered pairs represents a function?

Back

A set of ordered pairs represents a function if no two pairs have the same x-value with different y-values.

Front

What is the significance of the slope in real-world applications?

Back

The slope can represent rates of change, such as speed, cost per item, or growth rates, making it useful in various real-world contexts.

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.

Front

How do you graph a linear equation?

Back

To graph a linear equation, identify the y-intercept, plot it on the graph, and use the slope to find another point. Draw a straight line through the points.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input (x) has exactly one output (y), while a relation can have multiple outputs for a single input.