y=mx+b

Front

What does the equation y=mx+b represent?

Back

It represents the slope-intercept form of a linear equation, where m is the slope and b is the y-intercept.

Front

What is the slope (m) in the equation y=mx+b?

Back

The slope (m) indicates the steepness and direction of the line. A positive slope means the line rises, while a negative slope means it falls.

Front

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

Back

The y-intercept (b) is the point where the line crosses the y-axis, represented as (0,b).

Front

How do you find the slope from 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 positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

Front

What does a slope of zero mean?

Back

A slope of zero means the line is horizontal, indicating that y does not change as x changes.

Front

What does an undefined slope mean?

Back

An undefined slope occurs in a vertical line, where x does not change as y changes.

Front

How can you determine the slope from a graph?

Back

You can determine the slope by selecting two points on the line and using the rise over run method.

Front

What is the rise in the slope formula?

Back

The rise is the vertical change between two points on the line.