Respuesta :

Given:

Graph is given.

Two given points are:

[tex](0,4)\text{ and (}2,-2)[/tex]

To find: Slope intercept equation

Formula :

[tex]\frac{y-y_1}{y_2-y_1}=\frac{x-x_1}{x_2-x_1}[/tex]

Explanation:

The equation of the line is

[tex]\begin{gathered} \frac{y-4}{-2-4}=\frac{x-0}{2-0} \\ \frac{y-4}{-6}=\frac{x}{2} \\ \frac{y-4}{-3}=x \\ y-4=-3x \\ y=-3x+4 \end{gathered}[/tex]

Option B is the final answer.

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