If the line through (3, y) and (2,7) is parallel to the line through (-1,4) and (0, 6), then the value of y is: 

1.-7 

2.9 

3.7 

4.2

Step 1: Slope of line through points (-1, 4) and (0, 6).
$$m = \frac{6 - 4}{0 - (-1)} = \frac{2}{1} = 2$$

Step 2: For parallelism, slope of line through (3, y) and (2, 7) must also be 2.
$$\frac{y - 7}{3 - 2} = 2$$

Step 3: Solve for y.
$$y - 7 = 2(1)$$ $$y - 7 = 2$$ $$y = 9$$

Correct Value of y: 9

Answer: Option 2