Math 8 - 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-values increase, the y-values also increase, 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-values increase, the y-values decrease, 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.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

How do you determine if a slope is positive, negative, zero, or undefined from a graph?

Back

A positive slope rises from left to right, a negative slope falls from left to right, a zero slope is horizontal, and an undefined slope is vertical.

Front

If a line has a slope of -1, what does this tell you about the relationship between x and y?

Back

A slope of -1 indicates that for every unit increase in x, y decreases by the same amount.

Front

What is the slope of the line connecting the points (1, 2) and (4, 5)?

Back

The slope is (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 between two variables, which can be used in various contexts such as speed, cost, and growth rates.

Front

How can you identify a zero slope from a linear equation?

Back

A zero slope can be identified in a linear equation of the form y = b, where b is a constant.