Flashcard 11

Front

What is the slope of a line?

Back

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

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, showing an upward trend.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, showing a downward trend.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) where b is the y-coordinate.

Front

How do you find the y-intercept from an equation?

Back

To find the y-intercept from an equation in the form y = mx + b, simply identify the value of b.

Front

What is a 90-degree clockwise rotation of a point (x, y)?

Back

The coordinates after a 90-degree clockwise rotation are (y, -x).

Front

What is a 90-degree counterclockwise rotation of a point (x, y)?

Back

The coordinates after a 90-degree counterclockwise rotation are (-y, x).

Front

If a point A(1, 3) is rotated 90 degrees clockwise, what are the new coordinates?

Back

The new coordinates are A'(3, -1).

Front

If a point C(-6, 2) is rotated 90 degrees counterclockwise, what are the new coordinates?

Back

The new coordinates are C'(2, 6).

Front

What is the formula for calculating slope between two points (x1, y1) and (x2, y2)?

Back

The formula for slope is m = (y2 - y1) / (x2 - x1).