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mario62 [17]
3 years ago
13

Angl is a square. The equation of line NG is Y= 1/2 X - 6. Find the equation of line LG in slope intercept form given that the c

oordinates of L are (-5,1)
Mathematics
1 answer:
Irina18 [472]3 years ago
3 0

Answer: y=-2x-9

Step-by-step explanation:

If ANGL is a square, then NG and LG are adjacent sides.

Adjacent sides are perpendicular.  [Each angle is 90°]

The equation of line NG is Y=\dfrac12 X-6.

By comparing it to equation in slope intercept form y=mx+c ( where , m= slope , c=y-interecpt)

slope =\dfrac12

Let slope of LG be <em>n</em>, then

n\times \dfrac{1}{2}=-1 [Product of slopes of two perpendicular line =-1]

\Rightarrow n=-2

Equation of a line passes through (a,b) and have slope m is given by :-

(y-b)=m(x-a)

Equation of LG :

(y-1)=-2(x-(-5))\\\\\Rightarrow\ y-1=-2x-10\\\\\Rightarrow\ y=-2x-9 [In intercept form]

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