What is the slope of the line that passes through the pair of points?

(–4, 4), (3, 2)
(1 point)
Responses

negative start fraction 2 over 5 end fraction
Image with alt text: negative start fraction 2 over 5 end fraction

negative two-sevenths
Image with alt text: negative two-sevenths

six-sevenths
Image with alt text: six-sevenths

negative one-seventh
Image with alt text: negative one-seventh

To find the slope of the line passing through the points (-4, 4) and (3, 2), we use the formula:

slope = (change in y-coordinates) / (change in x-coordinates)

The change in y-coordinates is 2 - 4 = -2, and the change in x-coordinates is 3 - (-4) = 7.

Therefore, the slope is:

slope = (-2) / 7

The correct response is: negative two-sevenths.