Question

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

Answer 1

Answer:

$y=\frac{5}{3} x-\frac{38}{3}$

the value of b is -38/3

Step-by-step explanation:

$y=\frac{5}{3} x+b$ 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

$y=\frac{5}{3} x+b$

$-1=\frac{5}{3} (7)+b$

$-1=\frac{35}{3}+b$

subtract 35/3 from both sides

$-1 -\frac{35}{3} =b$

$\frac{-38}{3} =b$

Replace it in the original equation

$y=\frac{5}{3} x-\frac{38}{3}$