Answer:
Step-by-step explanation:
To determine a line that is perpendicular to another, first, calculate the new slope, the slope of a perpendicular line is the negative reciprocal of the given line.
Therefore, the slope of the perpendicular line:
[tex]\begin{gathered} m=-(2) \\ m=-2 \end{gathered}[/tex]
Now, use the slope-point form of a linear function to determine the equation;
[tex]\begin{gathered} y-y_0=m(x-x_0) \\ y-4=-2(x+1) \\ y-4=-2x-2 \\ y=-2x-2+4 \\ y=-2x+2 \end{gathered}[/tex]
The green line is the perpendicular line to y=1/2x+2.
