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STatiana [176]
3 years ago
14

Find the ratio in which y-axis divides the line segment joining the points A(5, -6), and B (-1, -4). Also find the coordinates o

f the point of division.
Mathematics
2 answers:
lora16 [44]3 years ago
7 0

Answer:

Something like this

Step-by-step explanation:

distance √(-1 - 5)² + (-6 - -4)² = √36 + 4 = √40 = 6.32

slope = 2/-6 = -1/3

distance (-1,-4) to (0, -4.63)

√(-1 - 0)² + (-4 - -4.63...)² = √1.4 = 1.18

6.32 - 1.18 = 5.14

1.18 : 5.14

ioda3 years ago
6 0

Answer:

ratio 5:1

coordinates (0,-13/3)

Step-by-step explanation:

let any point on y-axis  (0,y)  divides the join of A(5,-6) and B(-1,-4) in the ratio k:1

0=\frac{-1(k)+1(5)}{k+1} \\or~0=-k+5\\or~ k=5\\\therefore ~y-axis~ divides ~A,B~in~the~ratio~5:1\\y=\frac{5(-4)+1(-6)}{5+1} =\frac{-26}{6} =-\frac{13}{3}

so coordinates of point of intersection are (0,-13/3)

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