Graphs, Tables, and Equations

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run (change in y over change in x).

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, showing a downward trend.

Front

What is 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

How do you find the slope from a graph?

Back

To find the slope from a graph, select two points on the line, calculate the rise (change in y) and run (change in x), and divide rise by run.

Front

What does a slope of zero mean?

Back

A slope of zero means the line is horizontal, indicating no change in y as x changes.

Front

What is an undefined slope?

Back

An undefined slope occurs in a vertical line where the change in x is zero, leading to division by zero.

Front

How can you determine the rate of change from a table?

Back

The rate of change can be determined by calculating the difference in y-values divided by the difference in x-values between two points.

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept (b) is the point where the line crosses the y-axis, representing the value of y when x is zero.

Front

What is the difference between a table and an equation in representing data?

Back

A table lists specific values, while an equation provides a general rule or relationship between variables.

Front

How do you interpret a positive slope?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, showing an upward trend.