Finding Slope

Front

What is slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented as 'm' in the slope-intercept form of a linear equation.

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, indicating no change in y as x changes.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as it does not have a defined rise over run.

Front

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

Back

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

Front

What is 'rise' in the context of slope?

Back

'Rise' refers to the vertical change between two points on a line.

Front

What is 'run' in the context of slope?

Back

'Run' refers to the horizontal change between two points on a line.

Front

If the coordinates of two points are (1, 2) and (3, 6), what is the slope?

Back

Slope = (6 - 2) / (3 - 1) = 4 / 2 = 2.

Front

What is the slope of the line represented by the equation y = 3x + 1?

Back

The slope is 3.