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?

Back

To calculate the slope (m) from two points (x1, y1) and (x2, y2), use the formula: m = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, meaning the line falls from left to right.

Front

What does a slope of zero mean?

Back

A slope of zero means the line is horizontal and there is no change in y as x changes.

Front

What does an undefined slope mean?

Back

An undefined slope occurs when a line is vertical, meaning there is no change in x as y changes.

Front

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

Back

1

Front

Find the slope of the line that passes through (2, 4) and (6, 12).

Back

2

Front

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

Back

-1/4

Front

Determine the slope if m = -7.

Back

The slope is -7.