Slope-Intercept 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 slope represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What is the y-intercept in the equation y = 4x + 2?

Back

The y-intercept is 2, which is the value of y when x = 0.

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as 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, resulting in an upward slant.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant.

Front

What is the slope of the line represented by the equation y = -2x + 4?

Back

The slope is -2.

Front

What is the y-intercept of the line represented by the equation y = 1/2x - 3?

Back

The y-intercept is -3.

Front

What does a slope of zero mean for a line?

Back

A slope of zero means the line is horizontal and does not rise or fall.

Front

What does an undefined slope mean for a line?

Back

An undefined slope means the line is vertical, indicating that x does not change.