Slope & Slope Formula

Front

What is the formula for calculating the slope between two points?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

Given the points (1,4) and (5,9), what is the slope?

Back

The slope is 5/4.

Front

Given the points (2, −7) and (−1, 6), what is the slope?

Back

The slope is -13/3.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that the line rises as it moves from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line falls as it moves from left to right.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

How do you interpret the slope in the context of a real-world problem?

Back

The slope represents the rate of change between two variables in a real-world context.

Front

What is the rate of change in the context of slope?

Back

The rate of change is the same as the slope; it measures how much one variable changes in relation to another.

Front

If the slope is -1/3, what does this indicate about the relationship between the two variables?

Back

This indicates that for every 3 units increase in the x-variable, the y-variable decreases by 1 unit.