Find the value of r in (4,) so that the slope of the line containing them is -5/3 a.-1/7 b-7. c 1/7 d. 7

Option D (7).

Step-by-step explanation:

The formula for gradient of the straight line is given by:

m = (y2 - y1)/(x2 - x1); where (x1, y1) and (x2, y2) are two fixed points on the straight line. It is given that (x1, y1) = (4, r) and (x2, y2) = (r, 2). The gradient of the straight line is given by -5/3. To find the value of r, simply substitute all the values in the gradient equation. Therefore:

-5/3 = (2 - r)/(r - 4).

Cross Multiplying:

-5*(r - 4) = 3*(2 - r).

-5r + 20 = 6 - 3r.

-2r = -14.

r = 7.

Therefore, Option D is the correct answer!!!

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