+0

HELP!!!!! DUE TODAY

0
95
2

Let A=(6,2), and let B be the reflection of A over the line y = (1/2)x + 5. Find the coordinates of B

Pls help, thanks

Jun 13, 2020

#1
+307
+1

Let's start off by finding the equation of the line perpendicular to $$y=\frac{1}{2}x+5$$. To do this, we note that the slope of two perpendicular lines is the negative reciprocal of each other. So we have $$y=-2x+b$$. Now we plug in the point (6,2) to find that b=14. Our perpendicular line is $$y=-2x+14$$

Next, we find the intersection point of the two lines by solving for the two equations. We get the point $$(\frac{18}{5}, \frac{34}{5})$$

Now, we can use the Mid-Point Formula to find our desired point, since $$(\frac{18}{5}, \frac{34}{5})$$ must be the midpoint of our desired point (a, b) and (6,2).

$$\frac{a+6}{2}=\frac{18}{5}$$ and $$\frac{b+2}{2}=\frac{34}{5}$$

Solve for these two equations and you have your point (a, b)!

Jun 13, 2020
#2
0

Ok I got it! Thanks

Guest Jun 14, 2020