Slope

Front

What is the definition of slope?

Back

Slope is a measure of the steepness of a line, calculated as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

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 vertical change as you move along the line.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical, meaning there is no horizontal change as you move along the line.

Front

Find the slope of the line that goes through the points (−11,−5) and (1,−12).

Back

Front

Find the slope given the points (3,18) and (0,18).

Back

The slope is 0.

Front

Find the slope of the line that passes through (6,7) and (4,2).

Back

Front

Find the slope of the line that passes through the points (2,3) and (2,5).

Back

The slope is undefined.

Front

What is the relationship between rise and run in the context of slope?

Back

Rise refers to the vertical change between two points, while run refers to the horizontal change. Slope is the ratio of rise to run.

Front

If a line has a negative slope, what does that indicate about its direction?

Back

A negative slope indicates that the line descends from left to right.