SOLUTION: Could you please help me answer this question? Find the equation for the line that passes through the point (4,-2), and that is perpendicular to the line with the equation 3/4x-3y=

Question 420079: Could you please help me answer this question? Find the equation for the line that passes through the point (4,-2), and that is perpendicular to the line with the equation 3/4x-3y=-3. I have tried but seem to get stuck when it comes to fractions and solving for y. Any help is much appreciated! Thank you.
Found 2 solutions by ankor@dixie-net.com, mananth:
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Find the equation for the line that passes through the point (4,-2), and that is perpendicular to the line with the equation 3/4x-3y=-3.
:
Find the slope of the given equation, put it in the slope/intercept form; y= mx+b
x - 3y = -3
-3y = x - 3
:
y has to be positive, multiply by -1
3y = x + 3
divide eq by 3
y = x + 1
Reduce fraction
y = x + 1
:
the slope of the given equation: m1 =
the slope relationship of perpendicular lines: m1*m2 = -1
Find m2
*m2 = -1
multiply both sides by 4
m2 = -4 is the slope of line perpendicular to the given equation
:
use the point/slope form to find the perpendicular line: y - y1 = m(x - x1)
we have: x1 = 4, y1 = -2, m = -4
y - (-2) = -4(x - 4)
y + 2 = -4x + 16
y = -4x + 16 - 2
y = -4x + 14, is the equation of the perpendicular line

Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
� x - 3 y = 3
Find the slope of this line
3 y = � x -3
Divide by 3
y = 0.25 x -1
Slope = 0.25

The slope of a line perpendicular to the given line will be the negative reciprocal
m1*m2=-1
The slope of the required line will be -4

m=-4 ,point ( 4 , -2 )
Find b by plugging the values of m & the point
-2 = -16 + b
b= 14

The required equation is y = -4 x + 14

RELATED QUESTIONS
Please help me solve this question: Write the equation for the line that has a slope of... (answered by lwsshak3)
could you should show me the steps to this question and getting the answer. Find the... (answered by richwmiller)
Write a standard equation for a line that passes through f(4)=2 and f(2)=-1. Then find... (answered by ewatrrr)
Hello, I was wondering if someone could help me with this math question: Write the... (answered by flame8855,scott8148)
Would you please help me to solve this: For the line with the equation below: a.... (answered by lwsshak3)
Please help me : Find the standard form of the equation of the line that passes through... (answered by stanbon)
what is the equation of a horizontal line that passes through the point at (-2,-3)???? (answered by Edwin McCravy,solver91311)
Can you please help me write an equation for a line that passes through point (5,3) and... (answered by nerdybill)
Please help me answer tis question, thanks(: FInd the slope-intercept form of the... (answered by ewatrrr)