Answer:
[tex]y=\frac{5}{3} x-\frac{38}{3}[/tex]
the value of b is -38/3
Step-by-step explanation:
[tex]y=\frac{5}{3} x+b[/tex] 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
[tex]y=\frac{5}{3} x+b[/tex]
[tex]-1=\frac{5}{3} (7)+b[/tex]
[tex]-1=\frac{35}{3}+b[/tex]
subtract 35/3 from both sides
[tex]-1 -\frac{35}{3} =b[/tex]
[tex]\frac{-38}{3} =b[/tex]
Replace it in the original equation
[tex]y=\frac{5}{3} x-\frac{38}{3}[/tex]
