Slope Basics Flashcard

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you identify the slope from a linear equation in slope-intercept form?

Back

The slope is the coefficient of x in the equation y = mx + b.

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

What does a zero slope indicate about a line?

Back

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

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates a vertical line, where x remains constant while y changes.

Front

How do you calculate 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

If a line passes through the points (2, 4) and (6, 12), what is the slope?

Back

The slope is 2.

Front

What is the slope of the line represented by the equation y = -5/3x + 4?

Back

The slope is -5/3.

Front

What is the rise in the slope formula?

Back

The rise is the change in the y-values (y2 - y1) between two points.