Slope

Front

What is the definition of slope in mathematics?

Back

Slope is a measure of the steepness or incline of a line, typically represented as 'm' in the slope-intercept form of a linear equation (y = mx + b). It is calculated as the change in y (rise) over the change in x (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

Find the slope of the line through the points (6, -12) and (15, -3).

Back

1

Front

Find the slope of the line through the points (1, -19) and (-2, -7).

Back

-4

Front

Find the slope of the line through the points (19, -16) and (-7, -15).

Back

-1/26

Front

Find the slope between the points (2, 7) and (5, 8).

Back

1/3

Front

What does it mean if the slope of a line is undefined?

Back

An undefined slope occurs when a line is vertical, meaning there is no change in x (run = 0), which makes the slope calculation (rise/run) impossible.

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal, meaning there is no change in y (rise = 0) as x changes.

Front

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

Back

The slope is negative.

Front

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

Back

The slope is positive.