Question

HELP!! URGENT!
Find the equation of the line perpendicular to x+2y=14 and passing through (6,9)

Answer 1

Answer:

$y= 2x - 3$

Step-by-step explanation:

rearrange equation into slope-intercept form

isolate y by subtracting x from both sides

$2y=-x+14$

divide two from both sides

$y= -\frac{1}{2}x+7$

here, we can note that the slope is -1/2, which to be perpendicular means it needs the negative inverse of slope

in other words, flip the fraction and take the negative of it, which gives m = 2

therefore plugging the given coordinates (6,9) and slope m = 2 into

$y-y_{1} = m(x-x_{1} )$

therefore, we get

$y-9=2}(x-6)$

distribute 2

$y-9 = 2x - 12$

add 9 to both sides

$y= 2x -3$

Answer 2

Answer:

y = 2x-3

Step-by-step explanation:

find the slope intercept first by isolation the y in the first equation

then because its asking for the perpendicular equation you will flip the x in the slope intercept equation.

now youll want to plug in (6,9) into y = 2x + a

and you will get -3

then youll have your answer