We have two points: (2,7) and (-4,y).
We have to find the value of y so that the line that passes through both points is m = 1/2.
We can define a slope that passes through two points (x1,y1) and (x2,y2) as:
[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{y-7}{-4-2}=\frac{y-7}{-6}[/tex]As the slope is m = 1/2 we can find the value of y as:
[tex]\begin{gathered} m=\frac{1}{2} \\ \frac{y-7}{-6}=\frac{1}{2} \\ y-7=-\frac{6}{2} \\ y-7=-3 \\ y=-3+7 \\ y=4 \end{gathered}[/tex]Answer: y = 4
