Find the slope (rate of change) of a line that passes through (-4, 7) and (-6, -4)(1 point)

Responses

A. 0

B. 11/2

C. −2/11

D. −11/2

E. −11/10

F. −3/2

G. -1

H. 3/2

I. 1

J. 11/10

K. 2/11

1 answer

To find the slope, we can use the formula:
slope = (change in y-coordinate) / (change in x-coordinate)

In this case, we can choose two points (-4, 7) and (-6, -4) to calculate the slope.

Change in y-coordinate = -4 - 7 = -11
Change in x-coordinate = -6 - (-4) = -6 + 4 = -2

slope = (-11) / (-2) = 11/2

Therefore, the slope of the line that passes through (-4, 7) and (-6, -4) is 11/2.

The correct answer is B. 11/2.