Slope

Front

What is slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented as 'm' in the slope formula.

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 is a zero slope?

Back

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

Front

What is an undefined slope?

Back

An undefined slope occurs in a vertical line where the x-value remains constant, leading to a division by zero in the slope formula.

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

Find the slope of the line that passes through (2, 4) and (6, 12).

Back

The slope is 2.

Front

Find the slope of the line that passes through (6, 7) and (4, 2).

Back

The slope is 5/2.

Front

What does 'm' stand for in the slope formula?

Back

'm' stands for slope.

Front

If a line has a slope of 3, what does this mean?

Back

This means that for every 1 unit increase in x, the y-value increases by 3 units.