Question

8. A line through origin meets the line
x = 3y + 2 at right angles at point X. Find
the co-ordinates of X.​

Answer 1

Answer:

The coordinate of point x is

Step-by-step explanation:

Any line passing through the origin is in the form y = mx, where m is the slope of the line.

Now, the given line is x = 3y +2

Writing this equation in slope intercept form y = mx +b

x=3y+2

3y=x-2

y=1/3x-2/3

Therefore, the slope of this given line is 1/3

Now, we use below concept:

The slopes of two perpendicular lines are negative reciprocal of each other.

Therefore, the slope of the line passing through origin is -3.

Hence, the equation is y = -3x

Now, in order to find the required point, we plug y = -3x in the given equation

x = 3(-3x)+2

x= -9x+2

10x =2

x= 1/5

And y value is

-3 *15

y = -3/5

Therefore, the coordinate of point x is -3/5

please make me as brainlist please