slope

Front

What is the definition of slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented as 'm' in the equation of a line (y = mx + b). It is calculated as the change in y divided by the change in x (rise/run).

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

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal and there is no change in y as x changes.

Front

What does an undefined slope indicate about a line?

Back

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

Front

Find the slope of the line that passes through the points (2, 4) and (6, 12).

Back

The slope is 2.

Front

Find the slope of the line that passes through the points (10, 1) and (5, 2).

Back

The slope is -1/5.

Front

What is the slope of a line that is decreasing from left to right?

Back

The slope is negative.

Front

What is the slope of a line that is increasing from left to right?

Back

The slope is positive.

Front

Find the slope and y-intercept of the line represented by the equation y = 3x - 3.

Back

Slope is 3, y-intercept is -3.

Front

Find the slope of the line represented by the equation y = -5/4x + 1.

Back

The slope is -5/4.