Perpendicular lines have slopes that equal [tex]-1[/tex] when they are multiplied. To find the perpendicular slope, set up this equation (let [tex]x[/tex] represent the second equation):
[tex] \frac{1}{2} (x)=-1[/tex]
So, [tex]x=-2[/tex].
Now, plug in the ordered pair given, [tex](6,2)[/tex] into the equation [tex]y=-2x+b[/tex] and solve for [tex]b[/tex].
[tex]2=6(-2)+b[/tex]
multiply
[tex]2=-12+b[/tex]
add [tex]12[/tex] to both sides
[tex]b=14[/tex]
insert the value of [tex]b[/tex] into the equation [tex]y=-2x+b[/tex]
Answer: [tex]y=-2x+14[/tex]
Hope this helps!
