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 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 it mean if the slope is zero?

Back

A slope of zero means the line is horizontal and there is no vertical change as you move along the line.

Front

What does it mean if the slope is undefined?

Back

An undefined slope means the line is vertical, and there is no horizontal change as you move along the line.

Front

Find the slope of the line passing through the points (1, 2) and (3, 6).

Back

Slope = (6 - 2) / (3 - 1) = 4 / 2 = 2.

Front

Find the slope of the line passing through the points (−2, 3) and (4, −1).

Back

Slope = (−1 - 3) / (4 - (−2)) = (−4) / 6 = −2/3.

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.