Slope from a Graph

Front

What is slope?

Back

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

Front

What does a positive slope indicate?

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?

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 does a zero slope indicate?

Back

A zero slope indicates a horizontal line where there is no change in the y-value as the x-value changes.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line where the x-value does not change, leading to a division by zero in the slope formula.

Front

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

Back

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

Front

If a line goes through the points (2, 3) and (5, 7), what is the slope?

Back

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

Front

If a line goes through the points (1, 2) and (1, 5), what is the slope?

Back

The slope is undefined because the x-values are the same.

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.