Slope

Front

What is the slope?

Back

The slope is a measure of the steepness or incline of a line, calculated as the change in vertical distance divided by the change in horizontal distance.

Front

What is the formula to calculate slope?

Back

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

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, resulting in 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, resulting in a downward trend.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, as there is no change in the y-value.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as the change in x-value is 0.

Front

Find the slope of the line passing through points (1, 2) and (4, 5).

Back

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

Front

Find the slope of the line passing through points (2, 3) and (2, 7).

Back

Slope is undefined because the x-values are the same.

Front

What is the slope of the line represented by the equation y = -3x + 4?

Back

The slope is -3.

Front

If a line has a slope of 2, what does this mean?

Back

For every 1 unit increase in x, the y-value increases by 2 units.