Question 23399
Give the equation of the line that passes through (F,G)and is perpendicular to the line that passes through (V,Z) (W,Z).....FORMULA FOR SLOPE OF A LINE JOINING 2 POINTS (X1,Y1) AND (X2,Y2) IS (Y2-Y1)/(X2-X1).
HENCE SLOPE OF LINE JOINING (V,Z) AND (W,Z)IS..(Z-Z)/(W-V)=0
TWO LINES ARE PERPENDICULAR IF THE PRODUCT OF THEIR SLOPES(M1 AND M2)IS EQUAL TO -1...THAT IS M1*M2=-1
SO M*0=-1...OR M= INFINITY
A LINE WITH INFINITE SLOPE MEANS IT IS PERPENDICULAR TO X AXS OR PARALLEL TO Y AXIS.HENCE ITS EQN. IS OF THE FORM X=K..WHERE K IS A CONSTANT.
BUT THIS IS PASSING THROUGH (F,G)..HENCE (F,G) SHOULD SATISFY THIS EQN.
F=K
HENCE THE EQN.OF THE REQUIRED LINE IS Y=F