Slope-Intercept Form Graphing

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 (m) 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

How do you find the y-intercept (b) from the slope-intercept form?

Back

The y-intercept is the value of y when x = 0, represented by the constant term b in the equation y = mx + b.

Front

What is the slope of the line represented by the equation y = 3x + 4?

Back

The slope is 3.

Front

What is the y-intercept of the equation y = -2x + 5?

Back

The y-intercept is 5.

Front

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

Back

The slope (m) can be 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, resulting in an upward slant 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, resulting in a downward slant from left to right.

Front

If the slope of a line is zero, what does that mean?

Back

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

Front

If the slope is undefined, what does that indicate about the line?

Back

An undefined slope indicates a vertical line, where x remains constant regardless of y.