Answer:
[tex]y=-0.5x+4.5[/tex]
Step-by-step explanation:
The slope of [tex]y=2x-6[/tex] is:
The negative reciprocal of that slope is:
So the perpendicular line will have a slope of [tex]-1/2[/tex]:
And now put in the point [tex](1,5)[/tex]:
And that answer is OK, but let's also put it in [tex]y=mx+b[/tex] form: