Find the equation of the line in stardard form (-5,-1) and (5,7)

I can get it to
7=8/5(5)+b
7=8+b
b=-1
but I can not figure it our from here

answer 8x-5y=-30

looks like your slope is wrong

slope = (7+1)/(5+5) = 8/10 = 4/5

in
y = mx + b, and using the point (5,7) it would be
7 = (4/5)(5) + b
b = 3

so y = (4/5)x + 3

clear the fraction by multiplying by 5

5y = 4x + 15

or 4x - 5y = -15 in standard form

the answer you supply is not correct,
(5,7) doesn't even satisfy that equation.

5y = 8x -