Slope Flashcard

Front

What is the slope?

Back

The slope is a measure of the steepness or incline of a line, typically represented as 'm' in the slope formula.

Front

What is the slope formula?

Back

The slope formula is m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

Find the slope of the line that passes through the points (2, 3) and (4, 7).

Back

The slope is 2.

Front

Find the slope of the line that passes through the points (1, 1) and (3, 5).

Back

The slope is 2.

Front

Find the slope of the line that passes through the points (0, 0) and (5, 10).

Back

The slope is 2.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, showing an upward trend.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, showing a downward trend.

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 the points (-12, -5) and (0, -8).

Back

The slope is -1/4.