SOLUTION: show that the area formed by straight lines y=m1x+c1 and y=m2x+c2 and x=0 is ?

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Question 18621: show that the area formed by straight lines y=m1x+c1 and y=m2x+c2 and x=0
is ?
Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
y=m1x+c1 meets x=0 at y=c1..y=m2x+c2 meets x=0 at y=c2
and y=m1x+c1 meets y=m2x+c2...at m1x+c1=m2x+c2..or...x(m1-m2)=(c2-c1)..or..
x= (c2-c1)/(m1-m2)and y=[m1(c2-c1)/(m1-m2)]+c1
the 3 vertices are..(0,c1),(0,c2)and (x1,y1)where x1=(c2-c1)/(m1-m2),y1=((m1(c2-c1)/(m1-m2))+c1
area=matrix%283%2C3%2C0%2Cc1%2C1%2C0%2Cc2%2C1%2Cx1%2Cy1%2C1%29*(1/2)
area=(1/2)*x1(c1-c2)=(1/2)*(c1-c2)*(c2-c1)/(m1-m2)