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 positive slope indicate about a line?

Back

A positive slope indicates that as the x-values increase, the y-values also increase, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-values increase, the y-values decrease, meaning the line falls from left to right.

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.

Front

If a line has a slope of 1/2, what does this mean in terms of rise and run?

Back

For every 2 units you move horizontally (run), the line rises 1 unit (rise).

Front

How can you find the slope from a graph?

Back

To find the slope from a graph, select two points on the line, determine the rise and run between them, and use the formula: slope = rise/run.

Front

What is the slope of the line represented by the points (2, 3) and (4, 7)?

Back

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

Front

If a line has a slope of -3, what does this indicate about its direction?

Back

A slope of -3 indicates that the line falls steeply from left to right.