Unit 6 - 2 FC Slope: Given Two points

Front

What is the formula to calculate the slope (m) between two points (x1, y1) and (x2, y2)?

Back

The formula for slope is m = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate about the direction of a line on a graph?

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 the direction of a line on a graph?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates a vertical line, where the x-coordinates are the same, resulting in division by zero.

Front

How do you determine if the slope is zero?

Back

The slope is zero when the line is horizontal, meaning the y-coordinates are the same for different x-coordinates.

Front

Given the points (2, 3) and (4, 7), what is the slope of the line that passes through them?

Back

The slope is m = (7 - 3) / (4 - 2) = 4 / 2 = 2.

Front

If a line passes through the points (1, 2) and (1, 5), what is the slope?

Back

The slope is undefined because the x-coordinates are the same (1), indicating a vertical line.

Front

What is the slope of a line that passes through the points (0, 0) and (3, 3)?

Back

The slope is m = (3 - 0) / (3 - 0) = 3 / 3 = 1.

Front

How do you interpret a slope of -1/5?

Back

A slope of -1/5 indicates that for every 5 units the line moves to the right, it moves down 1 unit.

Front

What is the significance of the slope in real-world applications?

Back

The slope represents the rate of change, such as speed, cost per item, or any relationship between two variables.