Finding Slope Flashcard Retake

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

Front

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

Back

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

Front

What does a positive slope indicate about a line?

Back

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

Front

What does a negative slope indicate about a line?

Back

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

Front

What is the slope of the line that passes through the points (2, 4) and (10, -12)?

Back

-2

Front

What is the slope of the line that passes through the points (10, 1) and (-5, 2)?

Back

-1/15

Front

What is the slope of the line that passes through the points (-4, -7) and (6, 4)?

Back

11/10

Front

What is the formula for calculating the rate of change?

Back

Rate of change = change in y / change in x.

Front

What does 'rise over run' mean in the context of slope?

Back

'Rise over run' refers to the vertical change (rise) divided by the horizontal change (run) between two points on a line.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.