SLOPES!

Front

What is the definition of slope?

Back

The slope of a line is a measure of its steepness, usually represented as 'm'. It is calculated as the change in the y-coordinate divided by the change in the x-coordinate (rise over 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 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 does a slope of zero mean?

Back

A slope of zero means the line is horizontal, indicating that there is no change in the y-coordinate as the x-coordinate changes.

Front

What does an undefined slope mean?

Back

An undefined slope occurs in vertical lines, where the x-coordinates are the same, leading to division by zero in the slope formula.

Front

Find the slope of the line passing through the points (2, 3) and (5, 7).

Back

m = (7 - 3) / (5 - 2) = 4 / 3.

Front

Find the slope of the line represented by the equation y = 2x + 1.

Back

The slope (m) is 2, which indicates the line rises 2 units for every 1 unit it moves to the right.

Front

If the slope of a line is -3, what does this tell you about the line's direction?

Back

The line falls from left to right, decreasing in value as x increases.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.