Slope & Slope Formula Homework

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in the vertical direction (rise) divided by the change in the horizontal direction (run).

Front

What is the slope formula?

Back

The slope formula is m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, resulting in 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, resulting in a downward trend.

Front

What does a zero slope indicate?

Back

A zero slope indicates a horizontal line where there is no change in the y-value as the x-value changes.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line where the x-value does not change, leading to a division by zero in the slope formula.

Front

How do you find the slope between two points (3, 18) and (0, 18)?

Back

The slope is 0 because the y-values are the same, indicating a horizontal line.

Front

How do you find the slope between two points (2, 5) and (2, 10)?

Back

The slope is undefined because the x-values are the same, indicating a vertical line.

Front

What type of slope does the line y = 2x + 3 have?

Back

The slope is positive (2), indicating an upward trend.

Front

What type of slope does the line y = -3x + 1 have?

Back

The slope is negative (-3), indicating a downward trend.