Positive and Zero Slope

Front

What is the definition of slope in mathematics?

Back

Slope is a measure of the steepness or incline of a line, typically represented as the ratio of the vertical change to the horizontal change between two points on the line.

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, indicating no vertical change as the x-value changes.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined because there is no horizontal change.

Front

Calculate the slope between the points (1, 2) and (4, 5).

Back

Front

Calculate the slope between the points (2, 3) and (2, 7).

Back

The slope is undefined because the x-values are the same, indicating a vertical line.

Front

If a line has a slope of 1/2, what does this mean in terms of rise over run?

Back

For every 2 units moved horizontally (run), the line rises 1 unit (rise).

Front

What is the slope of the line represented by the equation y = 3x + 2?

Back

The slope is 3, indicating that for every 1 unit increase in x, y increases by 3 units.

Front

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

Back

The slope is -2, indicating that for every 1 unit increase in x, y decreases by 2 units.