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 divided by the change in horizontal distance.

Front

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

Back

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

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 (-3, -4) and (7, 6).

Back

1

Front

Determine the slope of a line if m = -3/2.

Back

The slope is negative, indicating the line goes downhill.

Front

What kind of slope do downhill lines have?

Back

Negative slope.

Front

What is the slope of the line that passes through (2, 4) and (6, 12)?

Back

2

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates a horizontal line.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line.

Front

If a line has a positive slope, what direction does it go?

Back

A line with a positive slope goes uphill from left to right.