Finding Slope

Front

What is the formula to find the slope of a line between two points (x1, y1) and (x2, y2)?

Back

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

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal.

Front

What does it mean if a slope is positive?

Back

A positive slope means that as x increases, y also increases.

Front

What does it mean if a slope is negative?

Back

A negative slope means that as x increases, y decreases.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

Calculate the slope between the points (1, 2) and (3, 6).

Back

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

Front

Find the slope of the line that passes through the points (4, 5) and (10, 15).

Back

Slope = (15 - 5) / (10 - 4) = 10 / 6 = 5/3.

Front

What is the slope of the line that passes through the points (2, 3) and (2, 7)?

Back

The slope is undefined because the x-coordinates are the same.

Front

If a line has a slope of -1/2, what does this indicate about the line's steepness?

Back

A slope of -1/2 indicates that the line is decreasing and is relatively gentle.

Front

What is the slope of the line that passes through the points (0, 0) and (5, 10)?

Back

Slope = (10 - 0) / (5 - 0) = 10 / 5 = 2.