Study Guide Unit 4

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the equation of a line (y = mx + b). It is calculated as the rise over run, or the change in y divided by the change in x.

Front

What is a y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis. It is represented as (0, b) in the equation of a line (y = mx + b), where b is the y-intercept value.

Front

How do you find the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined. To find the domain, identify any restrictions on x, such as division by zero or square roots of negative numbers.

Front

What does it mean for a slope to be negative?

Back

A negative slope indicates that as the x-value increases, the y-value decreases. This means the line falls from left to right.

Front

What is the difference between a relation and a function?

Back

A relation is a set of ordered pairs, while a function is a specific type of relation where each input (x-value) is associated with exactly one output (y-value).

Front

How do you identify the y-intercept from a graph?

Back

To identify the y-intercept from a graph, look for the point where the line crosses the y-axis. The x-coordinate at this point is always 0.

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

What is a vertical line and its slope?

Back

A vertical line has an undefined slope because it does not rise or fall as it moves left or right; it goes straight up and down.

Front

What is a horizontal line and its slope?

Back

A horizontal line has a slope of 0 because it does not rise or fall as it moves left or right; it remains constant.

Front

How do you match a table of values to a graph?

Back

To match a table of values to a graph, plot the points from the table on the graph and see which set of points aligns with the given graph.