Slope from a Graph

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

Back

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

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.

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.

Front

What does a zero slope indicate about a line?

Back

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

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates a vertical line, where there is no horizontal change.

Front

How do you identify the slope from a graph?

Back

To identify the slope from a graph, select two points on the line, determine the vertical change (rise) and the horizontal change (run), and use the formula m = rise/run.

Front

Calculate the slope between the points (1, 2) and (4, 5).

Back

The slope is m = (5 - 2) / (4 - 1) = 3 / 3 = 1.

Front

Calculate the slope between the points (-1, 3) and (2, 6).

Back

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

Front

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

Back

The slope of a perfectly horizontal line is 0.