SLOPE

Front

What is the definition of Slope?

Back

The slope of a line is a measure of its steepness, typically represented as 'm'. It is calculated as the change in the vertical direction (rise) divided by the change in the horizontal direction (run).

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, resulting in an upward slant from left to right.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward slant from left to right.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, meaning there is no change in the y-value as the x-value changes.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined because the change in x is 0, leading to division by zero.

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 the line represented by the equation y = 3x + 2?

Back

The slope of the line is 3, which indicates that for every 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 of the line is -2, indicating that for every unit increase in x, y decreases by 2 units.

Front

If a line has a slope of 0, what type of line is it?

Back

A line with a slope of 0 is a horizontal line.

Front

If a line has a slope of 1, what does this indicate about the line?

Back

A slope of 1 indicates that for every unit increase in x, y increases by the same amount, resulting in a 45-degree angle line.