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.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical.

Front

If the slope is positive, what does that tell you about the line?

Back

A positive slope indicates that the line rises as it moves from left to right.

Front

If the slope is negative, what does that tell you about the line?

Back

A negative slope indicates that the line falls as it moves from left to right.

Front

Find the slope of the line passing through the points (2, 3) and (5, 7).

Back

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

Front

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

Back

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

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.