SOLUTION: What is an equation of the line that is perpendicular to 2y+2= -7/4(x-7) and contains (-2,-3)?

Question 682151: What is an equation of the line that is perpendicular to 2y+2= -7/4(x-7) and contains (-2,-3)?
Found 2 solutions by stanbon, sachi:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
answered
Answer by sachi(548) (Show Source): You can put this solution on YOUR website!
2y+2= -7/4(x-7)=-7x/4+49/4
or 2y=-7x/4+49/4-2=-7x/4+41/4
or y=1/2*(-7x/4+41/4)
or y=-7x/8+41/8
the slope of the line =-7/8
now the slope of the line perpendicular to the given line
will have slope=8/7 (the product of slopes=-1)
this line contains (-2,-3)
so the required eqn will be
(y-(-3))/(x-(-2))=8/7
or (y+3)/(x+2)=8/7
or 7(y+3)=8(x+2)
or 7y+21=8x+16
or 7y-8x+5=0
ans
RELATED QUESTIONS
What is an equation of the line that is perpendicular to 2y+2= -7/4(x-7) and contains... (answered by stanbon)
what is an equation of the line that is perpendicular to y=4 and contains the point... (answered by mananth)
write an equation of a line that contains the given point and is perpendicular to the... (answered by jim_thompson5910)
write an equation of a line that contains the given point and is perpendicular to the... (answered by chitra)
Write an equation of a line that contains the given point and is perpendicular to the... (answered by Fombitz)
what is the equation of the line perpendicular to -8x+2y=-2 that contains point... (answered by checkley75)
what is equation of the line through the point(7,-5) and the perpendicular to... (answered by checkley71)
write an equation for the line that contains the point (4,-1) and is perpendicular to the (answered by RAY100)
write an equation for the line that contains the point (4,-1) and is perpendicular to the (answered by Mathtut)