Respuesta :
the equation of the line: 2y=8x-6
Divide each side by two==>y=4x-3
That means the slope of the line you need to find is -1/4
Using point-slope form, y-3=-1/4(x- -3)
y-3=-1/4(x+3)
y-3=(-1/4x)-(3/4)
y=-1/4x+9/4
Answer:
y-3=-1/8(x+3)
Step-by-step explanation:
1) Change the given line equation so that y=mx+b
2y=8x-6 (divide both sides by 2)
y=4x-3
2) In y=mx+b form, m is your slope
In this case, that's 4
3) To find a perpendicular line, find the opposite reciprocal
For 8, this is -1/8
4) Put your values into point slope form
x=-3, y=3, m=-1/8
y-y1=m(x-x1)
So you would get y-3=-1/8(x+3) as your final answer :)