Question

HELP!! URGENT!

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

Answer 1

y = 2x-3

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

Answer 2

`y= 2x - 3`

Explanation:

rearrange equation into slope-intercept form

isolate y by subtracting x from both sides

`2y=-x+14`

divide two from both sides

`y= -(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`