Respuesta :

Since it is a line, the equation must be of the form:

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

Let:

[tex]\begin{gathered} (x1,y1)=(-5,-10) \\ (x2,y2)=(0,-1) \end{gathered}[/tex]

so:

[tex]\begin{gathered} x=-5,y=-10 \\ -10=-5m+b_{\text{ }}(1) \\ ----------------- \\ x=0,y=-1 \\ -1=b \\ so\colon \\ -10=-5m-1 \\ -5m=-10+1 \\ -5m=-9 \\ m=\frac{-9}{-5} \\ m=1.8 \end{gathered}[/tex]

So:

[tex]y=1.8x-1[/tex]

the most approximate option is:

[tex]y=1.8x-1\approx2.097x-0.552[/tex]

Ver imagen JeanlucH190169