Calculating Slope

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 the y-coordinate divided by the change in the x-coordinate (rise/run).

Front

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

Back

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

Front

What is the slope of the line that passes through (4, 12) and (5, 16)?

Back

Slope = (16 - 12) / (5 - 4) = 4.

Front

What is the slope of the line that passes through (-4, -2) and (1, -13)?

Back

Slope = (-13 - (-2)) / (1 - (-4)) = -11/5 or -2.2.

Front

What is the slope of the line that passes through (2, 8) and (1, 13)?

Back

Slope = (13 - 8) / (1 - 2) = -5.

Front

What does a positive slope indicate about a line?

Back

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

Front

What does a negative slope indicate about a line?

Back

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

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.

Front

If a line has a slope of 3, what does this mean?

Back

For every 1 unit increase in x, the y value increases by 3 units.