Write the equation of a line through (2, -3), perpendicular to y = 1/3x

Question

asked Nov 26, 2023 183k views

1 Answer

Mohammed Aslam · Answer 1 · 2023-12-01T17:08:09+0000

to make a perpendicular function from another we must take its slope and make two transformations

the slope of y=1/3x is 1/3

the transformations:

1.

reverse the number

$(1)/(3)\longrightarrow(3)/(1)=3$

2.

and change the sign

$3\longrightarrow-3$

ok we have the slope now need the general equation of the line

where m is the slope , b a cut point and (x,y) a point

so, we have the slope=-3 , and the point (2,-3) we can replace to find b

$\begin{gathered} (-3)=(-3)(2)+b \\ -3=-6+b \\ b=-3+6 \\ b=3 \end{gathered}$

now we can replace b and the slope to have the final equation