Slope using 2 Ordered Pairs

Front

What is the formula to calculate the slope (m) between two points (x1, y1) and (x2, y2)?

Back

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

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

Find the slope of the line that passes through (3, 4) and (7, 10).

Back

m = (10 - 4) / (7 - 3) = 6 / 4 = 3/2.

Front

Find the slope of the line that passes through (1, 2) and (1, 5).

Back

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

Front

If the slope of a line is 2, what does this mean in terms of rise over run?

Back

For every 2 units the line rises, it runs 1 unit to the right.

Front

What is the slope of the line that passes through (0, 0) and (4, 8)?

Back

m = (8 - 0) / (4 - 0) = 8 / 4 = 2.

Front

How do you interpret a slope of 0 in a real-world context?

Back

A slope of 0 indicates no change; the output remains constant regardless of the input.