SOLUTION: Please help me find the standard form of the equation of the line that is perpendicular to 6x+4y=-2 and contains (-2,-4) A. 2x-3y=8 B.x+2y=-8 C.3x+2y=-8 D.2x+3y=-8

Question 550323: Please help me find the standard form of the equation of the line that is perpendicular to 6x+4y=-2 and contains (-2,-4)
A. 2x-3y=8
B.x+2y=-8
C.3x+2y=-8
D.2x+3y=-8
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Anything perpendicular to 6x+4y=-2 will be of the form 4x-6y=C where C is any number

Since this perpendicular line goes through (-2,-4), we know that x=-2 and y=-4. Use this to find C

4x-6y=C

4(-2)-6(-4)=C

-8+24=C

16=C

C = 16

So the equation is 4x-6y=16 and you can divide every term by 2 to get 2x-3y=8

So the answer is choice A

RELATED QUESTIONS
Please help me solve this equation: What is the standard form of the equation of the... (answered by mananth)

Please help me solve this equation: What is the standard form of the equation of the... (answered by Maths68)

help me with this: write an equation in standard form of the line that contains the... (answered by ankor@dixie-net.com,Alan3354)

Please help me : Find the standard form of the equation of the line that passes through... (answered by stanbon)

I am stumped on this question. Can someone please help me with it. Find the equation, (answered by stanbon)

Please help me solve this: Find the equation of the line perpendicular to -4y-5=3x... (answered by JBarnum)

write an equation in standard form of the line , that contains the point (-1, 2)and is... (answered by josgarithmetic)

Indicate the equation of the given line in standard form. The line that contains the... (answered by ewatrrr)

find the equation of the line that contains the point(-2,-3) and is perpendicular to the... (answered by Alan3354)