Slopey 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 rise (vertical change) to the run (horizontal change).

Front

How is slope calculated between two points (x1, y1) and (x2, y2)?

Back

Slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, meaning the line falls from left to right.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, as there is no vertical change regardless of the horizontal change.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as the horizontal change is 0, leading to division by zero.

Front

If a line has a slope of 4/3, what does this mean in terms of rise and run?

Back

A slope of 4/3 means that for every 3 units of horizontal run, the line rises 4 units.

Front

Find the slope of the line that passes through the points (2, 3) and (6, 7).

Back

The slope is (7 - 3) / (6 - 2) = 4 / 4 = 1.

Front

What is the slope of the line represented by the equation y = 2x + 5?

Back

The slope is 2, which is the coefficient of x in the equation.

Front

How do you interpret a slope of -1/5?

Back

A slope of -1/5 indicates that for every 5 units of horizontal run, the line falls 1 unit.