Finding Slope

Front

What is the definition of slope?

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

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1)

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal and 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 does an undefined slope indicate?

Back

An undefined slope indicates a vertical line, where there is no horizontal change (x2 - x1 = 0), leading to division by zero.

Front

Find the slope of the line passing through the points (2, 3) and (5, 7).

Back

Slope = (7 - 3) / (5 - 2) = 4 / 3.

Front

Find the slope of the line passing through the points (-1, -1) and (2, 2).

Back

Slope = (2 - (-1)) / (2 - (-1)) = 3 / 3 = 1.

Front

If a line has a slope of -2, what does this tell you about the line's direction?

Back

The line falls as it moves from left to right, indicating a negative relationship between x and y.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.