Finding Slope from graphs, tables and two given coordinates

Front

What is the definition of slope?

Back

The slope of a line is a measure of its steepness, usually represented as 'm', calculated as the change in y (rise) over the change in x (run).

Front

How do you calculate 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 x increases, y also increases, 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 x increases, y decreases, 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 to the right (run), the line rises 1 unit (rise).

Front

How can you determine the slope from a graph?

Back

Choose two points on the line, calculate the rise and run between them, and use the formula m = rise/run.

Front

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

Back

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

Front

What is the slope of the line represented by the points (1, 2) and (1, 5)?

Back

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