Find the missing point- Slope

Front

What is the formula to calculate the slope of a line given 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 the direction of a line on a graph?

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 the direction of a line on a graph?

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 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 in the slope formula.

Front

How do you determine if two points create a horizontal line?

Back

Two points create a horizontal line if their y-coordinates are the same, resulting in a slope of 0.

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.

Front

If a line passes through the points (2, 3) and (2, 7), what is the slope?

Back

The slope is undefined because the x-coordinates are the same.

Front

If a line passes through the points (1, 2) and (4, 5), what is the slope?

Back

The slope is 1, calculated as (5 - 2) / (4 - 1) = 3 / 3 = 1.

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.