Slope from Two Points

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in vertical distance (rise) divided by the change in horizontal distance (run).

Front

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

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What does it mean if the slope is positive?

Back

A positive slope means that as you move from left to right on the graph, the line rises.

Front

What does it mean if the slope is negative?

Back

A negative slope means that as you move from left to right on the graph, the line falls.

Front

What does it mean if the slope is zero?

Back

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

Front

What does it mean if the slope is undefined?

Back

An undefined slope occurs when the line is vertical, meaning the x-coordinates are the same.

Front

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

Back

5/2

Front

Find the slope of the line that passes through (5, -10) and (5, -4).

Back

undefined

Front

Find the slope of the line that passes through (-12, -5) and (0, -8).

Back

-1/4

Front

Find the slope of the line that passes through (-3, -4) and (7, 6).

Back

1