Old Ch. 3 - Slope/Slope-intercept Form

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm' in the slope-intercept form of a linear equation (y = mx + b). It is calculated as the rise over run, or the change in y divided by the change in x.

Front

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

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

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 y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of 'b' in the slope-intercept form.

Front

If a line has a slope of 0, what does that indicate?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.

Front

If a line has an undefined slope, what does that indicate?

Back

An undefined slope indicates a vertical line, meaning there is no change in x as y changes.

Front

What is the slope of the line represented by the equation y = 3x + 5?

Back

The slope of the line is 3.

Front

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

Back

The y-intercept is 2.

Front

How do you interpret a positive slope?

Back

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

Front

How do you interpret a negative slope?

Back

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