EXPLANATION
In order to know wich equation would be appropiate, we need to compute the slope, and it should be equal to -2 because the equation is y= -2x + 3.
Additionally, the y-intercept would be at y=3 because It's expressed in the equation. The only equations that comply this condition are B) and D).
Let's compute the slope in D):
The considered ordered pairs are (x_1,y_1) = (0,3) and (x_2,y_2) = (2,2)
[tex]\text{Slope}=\frac{y_2-y_1}{x_2-x_1}=\frac{2-3}{2-0}=\frac{-1}{2}=-\frac{1}{2}[/tex]
But, -1/2 is not the correct slope, in conclusion the solution is the OPTION B)
