What is the slope of the line that contains the points negative 2, negative seven halves and (4, −4)?
a) negative one twelfth
b) negative one fourth
c) one fourth
d) one twelfth
To find the slope of the line that contains the points (-2, -7/2) and (4, -4), we use the formula for slope:
m = (y2 - y1) / (x2 - x1)
First, let's assign the coordinates of the first point to (x1, y1) and the coordinates of the second point to (x2, y2):
(x1, y1) = (-2, -7/2)
(x2, y2) = (4, -4)
Now, plug the coordinates into the formula:
m = (-4 - (-7/2)) / (4 - (-2))
m = (-4 + 7/2) / 6
m = (-8/2 + 7/2) / 6
m = (-1/2) / 6
m = -1/2 * 1/6
m = -1/12
Therefore, the slope of the line that contains the points (-2, -7/2) and (4, -4) is -1/12.
a) negative one twelfth