Finding Slope

Front

What is the definition of slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented as the ratio of the vertical change to the horizontal change between two points on the line.

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (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?

Back

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

Front

What is the slope of a line that rises to the right?

Back

The slope of a line that rises to the right is positive.

Front

What is the slope of a line that falls to the right?

Back

The slope of a line that falls to the right is negative.

Front

Find the slope of the line represented by the points (2, 3) and (5, 7).

Back

Slope = (7 - 3) / (5 - 2) = 4/3.

Front

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

Back

Slope is undefined because the x-coordinates are the same.

Front

If a line has a slope of -2, what does this tell you about its direction?

Back

A slope of -2 indicates that the line falls steeply to the right.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.