Answer:
-47/8
Step-by-step explanation:
A line passes through the point [tex](9,-7)[/tex] and has a slope of [tex]\frac{-1}{8}[/tex].
The equation of a line passing through the point [tex](x_{1},y_{1})[/tex] and having slope [tex]m[/tex] is given by [tex]y-y_{1}=m(x-x_{1})[/tex].
For the given line, equation is given by
[tex]y-(-7)=\frac{-1}{8}(x-9)[/tex]
[tex]8(y+7)=-1(x-9)[/tex]
[tex]x+8y+47=0[/tex]
[tex]y=\frac{-1}{8}x-\frac{47}{8}[/tex]
This is the slope intercept form of the line [tex]y=mx+c[/tex]. Here [tex]c[/tex] denotes the y-intercept.
∴ y-intercept = [tex]\frac{-47}{8}[/tex]
