What is the slope of a line that passes through the points (-1, 1/3) and (0, -1/3) in the xy-plane?

Answer 1

To find the slope of a line passing through two points, we use the formula:

slope = (y2 - y1) / (x2 - x1)

In this case, the points are (-1, 1/3) and (0, -1/3). Let's call the first point (x1, y1) and the second point (x2, y2). So, we have:

x1 = -1, y1 = 1/3
x2 = 0, y2 = -1/3

Now we plug these values into the formula:

slope = (y2 - y1) / (x2 - x1)
= (-1/3 - 1/3) / (0 - (-1))
= (-2/3) / (1)
= -2/3

Therefore, the slope of the line passing through the points (-1, 1/3) and (0, -1/3) is -2/3.