Slope of 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 it mean if the slope of a line is undefined?

Back

An undefined slope indicates a vertical line, where the x-coordinates of the two points are the same.

Front

Calculate the slope of the line through the points (1, 2) and (3, 6).

Back

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

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

If a line has a slope of 3, what does this indicate about the line's steepness?

Back

A slope of 3 indicates that for every 1 unit increase in x, the y value increases by 3 units, making the line steep.

Front

Find the slope of the line that passes through the points (0, 0) and (4, 8).

Back

The slope is m = (8 - 0) / (4 - 0) = 8 / 4 = 2.

Front

What is the slope of the line that passes through the points (-2, 3) and (2, 3)?

Back

The slope is m = (3 - 3) / (2 - (-2)) = 0 / 4 = 0, indicating a horizontal line.

Front

Find the slope of the line that passes through the points (5, 5) and (5, 10).

Back

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

Front

What is the slope of a line that decreases as it moves from left to right?

Back

The slope is negative.

Front

Calculate the slope of the line through the points (1, 1) and (4, 5).

Back

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