Unit 5 Study Guide

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 change in y divided by the change in x (rise/run).

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal and there is no change in y as x changes.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical, meaning there is no change in x as y changes.

Front

What is direct variation?

Back

Direct variation is a relationship between two variables where one variable is a constant multiple of the other, typically expressed as y = kx, where k is the constant of variation.

Front

How can you identify the constant of variation in a direct variation equation?

Back

The constant of variation (k) can be identified as the coefficient of x in the equation y = kx.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, which can be expressed in the form y = mx + b.

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not graph to a straight line, meaning it can curve or have varying slopes.

Front

How do you determine if a graph represents a linear function?

Back

A graph represents a linear function if it forms a straight line when plotted on a coordinate plane.

Front

What is the formula for finding the slope between two points?

Back

The formula for finding the slope (m) between two points (x1, y1) and (x2, y2) is m = (y2 - y1) / (x2 - x1).