SLOPE

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm'. It is calculated as the change in y (rise) over the change in x (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 does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y 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 x increases, y 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 change in y regardless of the change in x.

Front

What is the slope of a vertical line?

Back

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

Front

If a line has a slope of 2/3, what does this mean?

Back

This means that for every 3 units moved horizontally (run), the line rises 2 units (rise).

Front

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

Back

The slope of the line y = 4 is 0, as it is a horizontal line.

Front

What is the slope of the line represented by the equation x = -1?

Back

The slope of the line x = -1 is undefined, as it is a vertical line.

Front

How do you find the slope from a table of values?

Back

To find the slope from a table, select two points (x1, y1) and (x2, y2) and use the formula m = (y2 - y1) / (x2 - x1).