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

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal, meaning there is no change in the y-value as the x-value changes.

Front

What does a positive slope indicate about the relationship between two variables?

Back

A positive slope indicates that as one variable increases, the other variable also increases.

Front

What does a negative slope indicate about the relationship between two variables?

Back

A negative slope indicates that as one variable increases, the other variable decreases.

Front

How do you find the slope of a vertical line?

Back

The slope of a vertical line is undefined because the change in x (denominator) is 0, leading to division by zero.

Front

Given the points (1, 2) and (3, 6), what is the slope?

Back

The slope is m = (6 - 2) / (3 - 1) = 4 / 2 = 2.

Front

If the slope of a line is -5/4, what does this tell you about the line's steepness and direction?

Back

A slope of -5/4 indicates that the line is steep and descends from left to right.

Front

What is the slope of a line that is perfectly vertical?

Back

The slope of a perfectly vertical line is undefined.

Front

How do you interpret a slope of 1/3?

Back

A slope of 1/3 means that for every 3 units you move horizontally to the right, the line rises 1 unit.

Front

What is the slope between the points (2, 7) and (5, 8)?

Back

The slope is m = (8 - 7) / (5 - 2) = 1 / 3.