Answer:
[tex]b=-\frac{141}{13}[/tex]
Explanation:
Given the following question:
[tex]y=mx+b[/tex]
In order to find the answer, we substitute the given information into the slope intercept then solve for b.
[tex]y=mx+b[/tex]
[tex]m=\frac{-9}{-13}[/tex]
[tex]y=-6[/tex]
[tex]x=7[/tex]
[tex](7,6)=(x1,y1)[/tex]
Substitute:
[tex]-6=\frac{-9}{-13} (7)+b[/tex]
[tex]\frac{-9}{-13} \times\frac{7}{1} =\frac{63}{13}[/tex]
[tex]\frac{63}{13}+b=6[/tex]
[tex]\frac{63}{13} -\frac{63}{13} =0[/tex]
[tex]6-\frac{63}{13} =-\frac{141}{13}[/tex]
[tex]b=-\frac{141}{13}[/tex]
Hope this helps.
