Finding Slope from a Table, Graph, and Points

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 (rise) to the horizontal change (run) between two points on the line.

Front

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

Back

The slope (m) can be calculated using the formula: 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, 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 that the line is vertical, meaning there is no horizontal change as you move along the line.

Front

If the slope of a line is positive, what does that tell you about the direction of the line?

Back

A positive slope indicates that the line rises from left to right.

Front

If the slope of a line is negative, what does that tell you about the direction of the line?

Back

A negative slope indicates that the line falls from left to right.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

Given the points (1, 8) and (3, 12), how do you find the slope?

Back

Use the formula: m = (12 - 8) / (3 - 1) = 4 / 2 = 2.

Front

What is the slope of the line represented by the points (-4, 5) and (-4, 2)?

Back

The slope is undefined because the x-coordinates are the same, indicating a vertical line.