Slope Intercept & Standard Form

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

What does the 'm' represent in the slope-intercept form?

Back

The 'm' represents the slope of the line, indicating how steep the line is.

Front

What does the 'b' represent in the slope-intercept form?

Back

The 'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Front

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

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is a positive slope?

Back

A positive slope means that as x increases, y also increases, resulting in an upward slant from left to right.

Front

What is a negative slope?

Back

A negative slope means that as x increases, y decreases, resulting in a downward slant from left to right.

Front

What is a zero slope?

Back

A zero slope indicates a horizontal line where y remains constant as x changes.

Front

What is an undefined slope?

Back

An undefined slope occurs in a vertical line where x remains constant and y changes.

Front

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

Back

The y-intercept is the point where the line crosses the y-axis.

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers.