Question

find the reflection of 3,4) on 3x+y-18=0


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Answer 1

Answer:

REFLECTION OF (3,4) IS (-3,-4).

Step-by-step explanation:

THANK YOU

Answer 2

Answer:

It can be much simplified by simple logic!!

Please look at the figure below.

The distance we are finding is the perpendicular distance. Now the points joining x,y and (-3, -4) is a part of a line.

Thus the slope of that line will be = y+4x+3y+4x+3

The slope of of the line 3x-4y-1=0 is 3434

Now we know that product of the slopes of two perpendicular line is -1

Therefore multiplying the two slopes will give us an equation as:

y+4x+3∗34=−1y+4x+3∗34=−1

⇒3y+4x=−24⇒3y+4x=−24

Another equation we have is the equation of your line that is 3x-4y-1=0

Solving the two we get the values of

x = −9325−9325

y= −7625−7625

Applying the distance formula for the two points i.e. (-3,-4) and ( −9325−9325 , −7625−7625 ) we get the value 1.2