NOV 22 SLOPE

Front

What is the definition of slope in mathematics?

Back

Slope is a measure of the steepness or incline of a line, typically represented as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

Front

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

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

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

Back

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

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 (1, 2) and (4, 5).

Back

Slope = (5 - 2) / (4 - 1) = 3 / 3 = 1.

Front

Find 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 -2, what does this indicate about the line's direction?

Back

A slope of -2 indicates that the line descends from left to right.

Front

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

Back

Slope = (5 - 0) / (5 - 0) = 5 / 5 = 1.

Front

What does a positive slope indicate about a line?

Back

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