the y-intercept will be [tex] \frac{8}{5} [/tex]
the standard line equation is y = mx + b, where y is the y point, x is the x point, m is the slope, and b is the y-intercept.
to get the y intercept, we need to transform into the line equation, and caculate out b.
3x + 5y = 8
so 5y = 8 -3x
then y = [tex] \frac{8}{5} [/tex] - [tex] \frac{3}{5} [/tex]x
which means that [tex] \frac{8}{5} [/tex] = the y intercept.