Through ( 10 , - 12 ) (10,-12) and perpendicular to 39 x - 26 y = - 24

Question

Through
(
10
,
−
12
)
(10,-12) and perpendicular to
39
x
−
26
y
=
−
24

Answer 1

First, convert the given linear equation to slope-intercept form to find the slope of the original line:

 

39x - 26y = -24

-26y = -39x - 24

y = 3/2x + 12/13

 

Our original slope is 3/2, so our new line will have slope -2/3 because perpendicular lines have slopes that are negative reciprocals.

 

Now, use the new slope and the given point to find the new y-intercept:

 

y = mx + b

-12 = -2/3(10) + b

-12 = -20/3 + b

-16/3 = b

 

So, our new line is y = -2/3x - 16/3.