Answered

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Use the linear equation, y = mx + b and solve for B (the y-intercept).


y = -9/-13x + ____


Slope = -9/-13

Endpoint = 7,-6

Sagot :

Nonportrit

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.

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