Flashcard # 4 Finding Slope Between Two Points

Front

Find the slope between the points (2, -7) and (-1, 6)

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1). Here, m = (6 - (-7)) / (-1 - 2) = 13 / -3 = -13/3.

Front

What does it mean if the slope of a line is undefined?

Back

An undefined slope occurs when a line is vertical, meaning it goes straight up and down. The change in x (denominator) is zero, which makes the slope calculation impossible.

Front

Find the slope of the line represented by the points (1, 2) and (3, 3)

Back

Using the slope formula m = (y2 - y1) / (x2 - x1), we find m = (3 - 2) / (3 - 1) = 1 / 2.

Front

Find the slope of the line represented by the points (0, 0) and (4, -5)

Back

Using the slope formula, m = (-5 - 0) / (4 - 0) = -5 / 4.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, as there is no change in y regardless of the change in x.

Front

Find the slope of the line represented by the points (2, 3) and (2, 5)

Back

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

Front

If a line has a slope of 2, what does this indicate about the line's steepness?

Back

A slope of 2 means that for every 1 unit increase in x, the y value increases by 2 units, indicating a steep upward incline.

Front

Find the slope of the line represented by the points (-3, 4) and (1, 0)

Back

Using the slope formula, m = (0 - 4) / (1 - (-3)) = -4 / 4 = -1.

Front

What is the slope of a line that goes from left to right and rises?

Back

The slope is positive, indicating that as x increases, y also increases.

Front

Find the slope of the line represented by the points (5, 5) and (5, 1)

Back

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