What will be the new position of the point (−8, 4) when rotated through 90° anti- clockwise about the origin?
i. (−4, −8)
ii. (−4, 8)
iii. (4, 8)
iv. (2, 4)

we have

(x,y). rotation through 90° anti-

clockwise about the origin(-y,x)

point (−8, 4) when rotated through 90° anti-

clockwise about the origin(-4,-8)

Option.i. (−4, −8)

Step-by-step explanation:

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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.