What is the slope intercept equation of this line?101(0.4)-10(2-2) 16-10A. y = 4x-3B. y=-3x + 4O c. y = 3x + 4O D. --****

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.