What is the equation of the line perpendicular to the linear equation 4x+6y=5?
Answer is 3x-2y=14
Hi everyone!
This is what i tried to do:
4x+6y=5
y=(-2/3)x + 5/6 so m1=(-2/3)
The two lines are perpendicular so m1 * m2 = -1
so m2 = 3/2
But the i find 2y-3x=2p, which is incorrect. I also don’t know how to find the value of p.
Can anyone help me solve? Thank you!!!
Hi,
I solved it the same but the mistake you did is saying 2y - 3x :
the equation of the perpendicular already was 3/2x+5/6 = y
then you multiply by 2 to make it in the standard form (i supposed this because probably all the answers were in this form)
when you multiply by 2 you get 3x +10/6 = 2y
then you move 2 y to the other side so it becomes 3x-2y.
Now for me is this was the only choice in the form 3x-2y i would directly choose it becasue i am sure of this step and i am not sure about the C. In the answer you gave it was 14 but i clearly did not obtain a 14, i got a -10/6 on the other side
but then again, since i am sure of the first step i would directly choose it, if there were two choices in 3x-2y with difference intercepts then this would be a problem
I hope i am not wrong and this was helpful
Thank you for your help!!