positive negative slope

Front

What is the definition of slope in mathematics?

Back

The slope is a measure of the steepness or incline of a line, calculated 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-coordinate increases, the y-coordinate 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-coordinate increases, the y-coordinate 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 zero, indicating no vertical change as the x-coordinate changes.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as it would require division by zero (no horizontal change).

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

If a line has a slope of 3/2, how would you categorize it?

Back

The line would be categorized as having a positive slope.

Front

If a line has a slope of -1/2, how would you categorize it?

Back

The line would be categorized as having a negative slope.

Front

What is the slope of the line represented by the equation y = 2x + 1?

Back

The slope of the line is 2.

Front

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

Back

The slope of the line is -3.