A.3A- Slope

Front

What is the definition of slope in a linear relationship?

Back

The slope is a measure of the steepness of a line, calculated as the change in y divided by the change in x (rise over run).

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

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

Back

The slope is represented by 'm' in the equation, indicating how much y changes for a unit change in x.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward slant 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, resulting in a downward slant from left to right.

Front

What is the slope of the line represented by the equation y = 3x + 4?

Back

The slope is 3.

Front

What is the slope of the line represented by the equation y = -2x + 5?

Back

The slope is -2.

Front

How do you find the slope from a table of values?

Back

Select two points (x1, y1) and (x2, y2) from the table and use the formula: Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the slope of the line that passes through the points (1, 2) and (3, 6)?

Back

Slope = (6 - 2) / (3 - 1) = 4 / 2 = 2.

Front

What is the slope of the line that passes through the points (0, 0) and (4, 8)?

Back

Slope = (8 - 0) / (4 - 0) = 8 / 4 = 2.