Finding Slope

Front

What is the definition of slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented as 'm' in the equation of a line (y = mx + b). It is calculated as the change in y (rise) over the change in x (run).

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 passing through the points (3, 4) and (7, 4).

Back

The slope is 0.

Front

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

Back

The slope is undefined.

Front

If the slope of a line is positive, what does that indicate about the line's direction?

Back

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

Front

If the slope of a line is negative, what does that indicate about the line's direction?

Back

A negative slope indicates that the line falls from left to right.

Front

Find the slope of the line given the points (-2, -3) and (2, 3).

Back

The slope is 3/2.

Front

What does a slope of 1/2 represent?

Back

A slope of 1/2 means that for every 2 units moved horizontally, the line rises 1 unit vertically.