find the reflection of 3,4) on 3x+y-18=0
Answers
Answer:
REFLECTION OF (3,4) IS (-3,-4).
Step-by-step explanation:
THANK YOU
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