Slope formula

Front

What is the slope formula?

Back

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

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 a zero slope?

Back

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

Front

What is an undefined slope?

Back

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

Front

Calculate the slope between the points (1, 2) and (4, 5).

Back

The slope is m = (5 - 2) / (4 - 1) = 3/3 = 1.

Front

If the slope of a line is 2, what does this mean in terms of rise over run?

Back

It means for every 2 units the line rises (change in y), it runs 1 unit to the right (change in x).

Front

Find the slope of the line that passes through the points (3, 7) and (3, 2).

Back

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

Front

What is the rate of change in a linear function?

Back

The rate of change is the same as the slope, representing how much y changes for a unit change in x.

Front

If a line has a slope of -1/2, what does this indicate about the line's direction?

Back

It indicates that the line descends as it moves from left to right, with a decrease in y for an increase in x.