SOLUTION: Write and equation of the line containing the given point and perpendicular to the given line. (5,-4);9x+7y=4

Question 333266: Write and equation of the line containing the given point and perpendicular to the given line. (5,-4);9x+7y=4
Answer by benazir.sj@gmail.com(109) (Show Source): You can put this solution on YOUR website!
9x+7y =4
first we have to write the equation in standard form
y=mx+b

9x+7y=4
7y =-9x+4
y= -9/7x+4/7
here slope m1=-9/7
since the slope is perpendicular
m1*m2 =-1
m2=-1/m1
since the required line is perpendicular to 9x+7y=4
m2 =-1/m1
=-1/(-9/7)
=7/9
hence the equation of the requires line is
y-y1 =m2(x-x1)
(x1,y1)=(5,-4) m2=7/9
y-(-4) =7/9(x-5)
y+4=7/9x+7*5/9
y=7/9x+35/9-4
y=7/9x-1/9
or
9y=7x-1
RELATED QUESTIONS
write the equation of a line containing the given point and perpendicular to the given... (answered by robertb)

Write an equation of the line containing the given point and perpendicular to the given... (answered by texttutoring)

equation of a line containing the given point and perpendicular to the given line:... (answered by robertb,amoresroy)

(6,-6); 9x+7y=8 write an equations of the line containing the given point and... (answered by mananth)

write an equation of the line containing the given point and perpendicular to the given... (answered by nerdybill,checkley77)

WRITE AN EQUATION OF THE LINE WITH THE GIVEN POINT AND PERPENDICULAR TO THE GIVEN LINE. (answered by Alan3354)

write an equation of the line containing the given point and perpendicular to the given... (answered by josgarithmetic)

Write an equation of the line containing the given point and perpendicular to the given... (answered by stanbon,ewatrrr)

Write an equation of the line containing the given point and perpendicular to the given... (answered by mananth)