FIND THE 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

What is a positive slope?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, resulting in an upward slant from left to right.

Front

What is a negative slope?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward slant from left to right.

Front

What is zero slope?

Back

Zero slope means that there is no vertical change as the x-value changes, resulting in a horizontal line.

Front

What is an undefined slope?

Back

An undefined slope occurs when a vertical line is drawn, meaning there is no horizontal change, and the slope cannot be calculated.

Front

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

Back

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

Front

Find the slope of the line through the points (2, 3) and (5, 11).

Back

Slope = (11 - 3) / (5 - 2) = 8 / 3.

Front

What does a steep slope indicate?

Back

A steep slope indicates a large change in y for a small change in x, meaning the line rises or falls quickly.

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.