(8) Fall S1 Final Exam Study Guide 6

Front

What is the definition of Rate of Change?

Back

Rate of Change refers to the ratio of the change in the dependent variable to the change in the independent variable, often represented as the slope of a line.

Front

What does Slope represent in a graph?

Back

Slope represents the steepness of a line, calculated as the rise over run (change in y over change in x).

Front

Is the function Linear or Nonlinear?

Back

A Linear function has a constant rate of change and can be represented by a straight line, while a Nonlinear function does not have a constant rate of change and can be represented by a curve.

Front

What is a variable in mathematics?

Back

A variable is a symbol, often a letter, that represents an unknown value in an equation or expression.

Front

How do you find the slope of a line given two points?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

What is the formula for the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does it mean if a slope is undefined?

Back

An undefined slope occurs when a line is vertical, meaning there is no change in the x-values (run = 0), leading to division by zero.

Front

What is the significance of the y-intercept in a linear equation?

Back

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

Front

How can you determine if a function is linear from a table of values?

Back

A function is linear if the rate of change (slope) between any two points is constant.

Front

What is the rate of change for the following graph if it rises 40 units over a run of 1 unit?

Back

The rate of change is 40, indicating a steep slope.