A line y = mx +b passes through point (8, – 6) and is parallel to y = -x +4. What is the value of b?

b = 2

Step-by-step explanation:

Since the two lines are parallel, their slope is the same.

Slope = -1

The function: y = -x + b

Plug in the coordinate values to solve for b.

-6 = -8 + b

-6 + 8 = b

2 = b

b = 2

a_n = a_1 + (n - 1)d

the first term is 6.

the common difference d = ?

when you find d, replace n with 7 and d with the common difference to find your answer.