Answer:
[tex]y=2x-8[/tex]
Step-by-step explanation:
First, remember that perpendicular lines have opposite and reciprocal slopes to the original line. That means for this line, your slope will be 2 (flip the fraction and change the sign). So we have:
[tex]y=2x+b[/tex]
Next, plug in the point that it passes through in order to find the y-intercept (b).
[tex]4=2(6)+b[/tex]
[tex]4=12+b[/tex]
[tex]b=-8[/tex]
So your equation will be:
[tex]y=2x-8[/tex]
Hope this helped!
