Which inequality is represented by this graph[tex]y \geqslant - \frac{1}{6} x + 1[/tex][tex]y \leqslant - \frac{1}{6} x + 1[/tex][tex]y \ \textless \ - \frac{1}{6} x + 1[/tex][tex]y \ \textgreater \ - \frac{1}{6} x + 1[/tex]

Which inequality is represented by this graphtexy geqslant frac16 x 1textexy leqslant frac16 x 1textexy textless frac16 x 1textexy textgreater frac16 x 1tex class=

Respuesta :

[tex]\begin{gathered} (x1,y1)=(0,1) \\ (x2,y2)=(6,0) \\ \text{the slope is:} \\ m=\frac{y2-y1}{x2-x1}=\frac{0-1}{6-0}=-\frac{1}{6}_{} \end{gathered}[/tex]

Using the point-slope equation:

[tex]\begin{gathered} y-y1=m(x-x1) \\ y-1=-\frac{1}{6}x-0 \\ y=-\frac{1}{6}x+1 \end{gathered}[/tex]

since the values are above the line:

[tex]y>-\frac{1}{6}x+1[/tex]

Ver imagen ZophieG331748