To answer this, we will find the equation of the line that passes through point C and D and check which option is in the same line, this will be the answer.
First, let's find the slope using th coordinates of the points C and D:
[tex]s=\frac{y_D-y_C}{x_D-x_C}=\frac{2-5}{-1-2}=\frac{-3}{-3}=1[/tex]
Now, we can use point C, for example, to right in the slope-point form:
[tex]\begin{gathered} (y-y_C)=s(x-x_C) \\ y-5=1(x-2) \\ y=x-2+5 \\ y=x+3 \end{gathered}[/tex]
With this equation, we can input values of x and check is we get the same y.
Alternative A and C have x = 0, so let's check it:
[tex]\begin{gathered} y=x+3 \\ y=0+3 \\ y=3 \end{gathered}[/tex]
I got y = 3, neither alternative have y = 3, so it isn't A nor C.
B and D have x = 1, let's check it:
[tex]\begin{gathered} y=x+3 \\ y=1+3 \\ y=4 \end{gathered}[/tex]
We got y = 4, which matches alternative D.
So, the correct alternative is D.
