Slope from Two Points

Front

What is the formula to calculate the slope (m) between two points (x1, y1) and (x2, y2)?

Back

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

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal and there is no change in the y-value as the x-value changes.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical, meaning the x-values are the same and there is no change in the x-value.

Front

Find the slope of the line that passes through the points (1, 2) and (3, 6).

Back

The slope is m = (6 - 2) / (3 - 1) = 4 / 2 = 2.

Front

Find the slope of the line that passes through the points (4, 5) and (4, 9).

Back

The slope is undefined because the x-values are the same (4).

Front

If the slope of a line is negative, what does that indicate about the direction of the line?

Back

A negative slope indicates that the line is decreasing from left to right.

Front

If the slope of a line is positive, what does that indicate about the direction of the line?

Back

A positive slope indicates that the line is increasing from left to right.

Front

What is the slope of the line that passes through the points (-2, 8) and (0, 8)?

Back

The slope is 0 because the y-values are the same (8).

Front

Calculate the slope of the line that passes through the points (-12, -5) and (0, -8).

Back

The slope is m = (-8 - (-5)) / (0 - (-12)) = (-3) / 12 = -1/4.

Front

What is the slope of the line represented by the points (5, -10) and (5, -4)?

Back

The slope is undefined because the x-values are the same (5).