Favela's rise over run

Front

What is the definition of slope in mathematics?

Back

Slope is a measure of the steepness or incline of a line, typically represented as the ratio of the vertical change to the horizontal change between two points on the line.

Front

What does a zero slope indicate about a line?

Back

A zero slope indicates that the line is horizontal, meaning there is no vertical change as you move along the line.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as you move from left to right along the line, the line rises, meaning the y-value increases as the x-value increases.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as you move from left to right along the line, the line falls, meaning the y-value decreases as the x-value increases.

Front

What is the formula to calculate the slope between two points (x1, y1) and (x2, y2)?

Back

The formula for slope (m) is m = (y2 - y1) / (x2 - x1).

Front

If a line has a slope of 3/2, what does this mean?

Back

A slope of 3/2 means that for every 2 units you move horizontally to the right, the line rises 3 units vertically.

Front

What is the slope of a vertical line?

Back

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

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is zero because there is no change in y (vertical change) as you move along the line.

Front

Given the points (1, 2) and (4, 8), what is the slope?

Back

The slope is (8 - 2) / (4 - 1) = 6 / 3 = 2.

Front

What is the x-coordinate in the ordered pair (3, -8)?

Back

The x-coordinate is 3.