Respuesta :

In the given graph, the line passes through at y = -7

Thus equation of line is y = -7

The general equation of line represent as;

[tex]\begin{gathered} y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1) \\ or\text{ } \\ y-y_1=m(x-x_1),m=\frac{y_2-y_1}{x_2-x_1} \end{gathered}[/tex]

Consider any two coordinate as; (0 ,-7) and (2, -7)

Substitute this coordinate in the equation of line as;

[tex]\begin{gathered} y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1) \\ y-(-7)=\frac{-7-(-7)}{2-0}(x-0) \\ y+7=\frac{-7+7}{2}x \\ y+7=0x \end{gathered}[/tex]

Thus, here slope = 0

For the vertical intercept, x= 0 and y = -7

Therefore;

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Ver imagen HamadI486226