Finding Slope

Front

What is the definition of slope?

Back

The slope of a line is a measure of its steepness, 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

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as you move from left to right along the line, the line rises.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as you move from left to right along the line, the line falls.

Front

What does a slope of zero mean?

Back

A slope of zero means the line is horizontal and does not rise or fall.

Front

What does an undefined slope mean?

Back

An undefined slope means the line is vertical, and the change in x is zero, making the slope calculation impossible.

Front

Find the slope of the line through the points (2, 3) and (5, 11).

Back

Front

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

Back

The slope is undefined because the x-coordinates are the same.

Front

What is the slope of the line represented by the equation y = 3x + 2?

Back

The slope is 3, which indicates the line rises 3 units for every 1 unit it moves to the right.

Front

If a line has a slope of -4, what does this tell you about the line's direction?

Back

The line falls steeply as you move from left to right.