Question

The line y = 5x/3 + b goes through the point (7, –1). What is the value of b?

(A) 3
(B) –5/3
(C) –7/5
(D) 16/3
(E) –38/3

Answer 1

`y=(5)/(3) x-(38)/(3)`

the value of b is -38/3

Explanation:

`y=(5)/(3) x+b` goes through the point (7,-1)

we need to find out b for the given equation using (7,-1)

Plug in 7 for x and -1 for y

`y=(5)/(3) x+b`

`-1=(5)/(3) (7)+b`

`-1=(35)/(3)+b`

subtract 35/3 from both sides

`-1 -(35)/(3) =b`

`(-38)/(3) =b`

Replace it in the original equation

`y=(5)/(3) x-(38)/(3)`