Finding Slope from a Table, Graph, and Points

Front

What is the definition of slope?

Back

The slope is a measure of the steepness 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 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 rises from left to right, what is the sign of its slope?

Back

The slope is positive.

Front

If a line falls from left to right, what is the sign of its slope?

Back

The slope is negative.

Front

Find the slope of the line represented by the points (2, 3) and (4, 7).

Back

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

Front

Find 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.

Front

What is the slope of the line represented by the equation y = 3x + 2?

Back

The slope is 3.

Front

How do you find the slope from a graph?

Back

Choose two points on the line, determine the rise and run between them, and calculate slope as rise/run.