Finding Slope from a Table, Graph, and Points

Front

What is the definition of slope?

Back

Slope is a measure of the steepness or incline of a line, calculated as the change in the vertical direction (rise) divided by the change in the horizontal direction (run).

Front

How do you find the slope from 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.

Front

What does it mean if a line has no slope?

Back

A line with no slope is vertical and cannot be expressed as a ratio of rise over run.

Front

If the slope of a line is positive, what does that indicate about the line's direction?

Back

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

Front

If the slope of a line is negative, what does that indicate about the line's direction?

Back

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

Front

What is the slope of a line that passes through the points (2, 3) and (5, 9)?

Back

Slope = (9 - 3) / (5 - 2) = 6 / 3 = 2.

Front

What is the slope of a line that passes through the points (1, -1) and (1, 4)?

Back

The slope is undefined because the x-coordinates are the same (vertical line).

Front

How do you determine the slope from a graph?

Back

To find the slope from a graph, select two points on the line, calculate the rise (change in y) and run (change in x), and then divide rise by run.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.