Finding Slope of a Line

Front

What is the slope of a line?

Back

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

Front

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

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What is the slope of the line passing through the points (12, 16) and (8, 12)?

Back

1

Front

What is the slope of the equation y = -4x + 8?

Back

-4

Front

What is the constant of proportionality in the equation y = ½x?

Back

1/2

Front

Determine the slope and y-intercept from the equation y = 3/2x + 3.

Back

slope: 3/2, y-intercept: (0, 3).

Front

What is the slope of the line passing through the points (3, 7) and (-1, 9)?

Back

-1/2

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.