Let's construct the equation in slope-intercept form. Start by finding the slope of the line.
[tex] \frac{y-y}{x-x}=\frac{9-12}{2-3}=\frac{-3}{-1}=3 [/tex]
This gives us y = 3x + b. Now, find b (or the y-intercept) by inputting a coordinate pair given in the table.
[tex] y=3x+b [/tex]
[tex] 9=3(2)+b [/tex]
[tex] 9=6+b [/tex]
[tex] 3=b [/tex]
This gives us the completed equation of y = 3x + 3.
The correct answer is B) y = 3x + 3.
