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 divided by the change in x (rise/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

If the slope is positive, what does that indicate about the line?

Back

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

Front

If the slope is negative, what does that indicate about the line?

Back

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

Front

Find the slope of the line that passes through the points (1, 2) and (3, 6).

Back

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

Front

Find the slope of the line that passes through the points (2, 5) and (2, 9).

Back

The slope is undefined because the x-coordinates are the same.

Front

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

Back

The slope (m) is 3.

Front

What does a slope of 1/2 indicate about the line?

Back

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