Aparabola has a focus of f (8.5,-4) and a directrix of x=9.5.
what is the equation of the parabola?
a) 1/2 y² + 4y - 1= x
b) -1/2y²- 4y +1 = x
c) 1/2y²- 4y+1=x
d) -1/2y² + 4y-1=x

system of linear equation

step-by-step explanation:

as given in the data

a= 20 , b= -12

let us suppose that it is a straight line equation

now we know the formula for the system of linear equation

b= ma + c )

here m is slope of a straight line which is equal to formula

m=   (ii)

and here c is a constant

now putting the value of a and b in equation (ii)

m=

m=

putting the value of a,b and m in equation (i) gives us

-12 = + c

-12=-12 + c

adding 12 to both sides

-12 +12 = -12 +12 +c

0 =c

or c=0

as the value of the constant is zero which gives us that it is a linear equation and this order pair satisfies the system of linear equations.