Finding Slope

Front

What is the definition of slope?

Back

The 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 a table of values?

Back

To find the slope from a table, select two points (x1, y1) and (x2, y2) and use the formula: slope = (y2 - y1) / (x2 - x1).

Front

What is the slope of the line represented by the equation y = mx + b?

Back

The slope of the line is represented by 'm' in the equation y = mx + b.

Front

Find the slope of the line passing through the points (2, 3) and (4, 7).

Back

The slope is (7 - 3) / (4 - 2) = 4 / 2 = 2.

Front

What is the slope of the equation y = -3x + 2?

Back

The slope is -3.

Front

If a line is vertical, what is its slope?

Back

The slope of a vertical line is undefined.

Front

If a line is horizontal, what is its slope?

Back

The slope of a horizontal line is 0.

Front

Back

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.