Find the ratio in which the line segment joining A(– 5, 3)) and B(2, -4) is divided by the y-axis.
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Answer:
5/2 : 1 is the ratio
Step-by-step explanation:
let the ratio be k:1
line divided by y axis it means X=0
so point of intersection is (0,y)
then we'll fine the ratio
take any point ( X or y ) to find th ratio
0 = 2k - 5/k+1
2k-5=0
k=5/2 , k:1= 5/2:1
if y is to be found
then
Y = -4k+3/k+1
out the value of k in it
Y = -4×5/2 + 3 ÷ 5/2 +1
Y = -10 +3 ÷ 7/2
Y= -7/7/2 = -7/1 ÷ 7/2
Y= -2
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