Respuesta :

Given Data:

The point is, (x, y) = ( -8, -5)

The slope is, m = -3/4

The general line equation is,

[tex]y=mx+b[/tex]

Here, b is the y intercept.

To find b let us substitute, -8 for x, -5 for y and -3/4 for m. Therefore we have,

[tex]\begin{gathered} -5=-\frac{3}{4}\times(-8)+b \\ -5=6+b \\ b=-11 \end{gathered}[/tex]

Thus, the y intercept is -11 and therefore the equation is,

[tex]y=-\frac{3}{4}x-11[/tex]

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