2/7 ( k+5/8) = 2 and 2/7
2/7 (k+5/8) = 16/7 |multiply by 7
2(k+5/8) = 16 |divide by 2
k+5/8 = 8 |subtract 5/8
k=8-5/8 = 7 and 3/8 = 27/8 = 7.375
Step-by-step explanation:
4x-7=-2x+12
Add 2x
6x-7=12
Add 7
6x=19
Divide 6
x = 19/6
19/6 = 3 1/6
x = 3 1/6
ANSWER

to the nearest thousandth.
EXPLANATION
The given irrational number is

We use the calculator to evaluate this to obtain,

To round to the nearest thousandth means we are rounding to 3 decimal places.
The third decimal place is 5.
The next number is 5 so we round up.

Find two points where the line intersects with an x and y value that are whole numbers.
The line crosses (0,3) and (-2,-1)
The slope is the change in Y divided by the change in x.
The change in Y is -1 - 3 = -4
The change in x is -2 - 0 = -2
The slope becomes -4 / -2 which simplifies to 2
The answer is D.