# Thread: equation of the normal of the line on point..

1. ## equation of the normal of the line on point..

find the equation of the line (3, -5) and (-1,2)

i did it and got an equation y = -7/4x + 1/4

how its asking to find the equation of the normal of this line at point (3, -5)

how do i get that?

i know u use m1 and m2, u have y = m2x + b.. how do u work out b?

m2 = 4/7 and x = 3 but b ?

thank u!!

2. Originally Posted by jvignacio
find the equation of the line (3, -5) and (-1,2)

i did it and got an equation y = -7/4x + 1/4

how its asking to find the equation of the normal of this line at point (3, -5)

how do i get that?

i know u use m1 and m2, u have y = m2x + b.. how do u work out b?

m2 = 4/7 and x = 3 but b ?

thank u!!
Since the equation of the normal line is $\displaystyle y=\tfrac{4}{7}x+b$, to find b, plug in the point $\displaystyle (3,-5)$.

This tells us that $\displaystyle -5=\tfrac{4}{7}(3)+b\implies b=\dots$

Take it from here.

--Chris

3. Originally Posted by Chris L T521
Since the equation of the normal line is $\displaystyle y=\tfrac{4}{7}x+b$, to find b, plug in the point $\displaystyle (3,-5)$.

This tells us that $\displaystyle -5=\tfrac{4}{7}(3)+b\implies b=\dots$

Take it from here.

--Chris
ohh damnit lol why didnt i think of that. make b the subject