Slope

Front

What is the definition of slope?

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

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 (2, 3) and (5, 11).

Back

Slope = (11 - 3) / (5 - 2) = 8 / 3.

Front

If a line has a slope of 4, what does this mean?

Back

A slope of 4 means that for every 1 unit increase in the x-direction, the y-value increases by 4 units.

Front

What is the slope of the line represented by the equation y = 2x + 3?

Back

The slope is 2.

Front

Find the slope of the line that passes through the points (-1, -2) and (3, 2).

Back

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

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line is decreasing; as x increases, y decreases.

Front

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

Back

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