Finding Slope

Front

What is the formula to find 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-value increases, the y-value 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-value increases, the y-value decreases, 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 interpret the slope in a real-world context?

Back

The slope represents the rate of change between two variables, such as speed (distance over time) or cost (price over quantity).

Front

Given the points (2, 3) and (4, 7), what is the slope?

Back

The slope is 2, calculated as (7 - 3) / (4 - 2).

Front

Back

The slope is 5.

Front

If a line crosses the y-axis at (0, b), what does this tell you about the slope?

Back

The y-intercept (b) does not affect the slope; the slope is determined by the angle of the line.

Front

Back

The slope is -1/4.