Given a line segment AB joining the points A (-4, 6) and B (8, -3). Find:
(i) the ratio in which AB is divided by the y-axis.
(ii) find the coordinates of the point of intersection.
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Given a line segment AB joining the points A (-4, 6) and B (8, -3). Find:
(i) the ratio in which AB is divided by the y-axis.
(ii) find the coordinates of the point of intersection.
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Answer:
A(-4, 6)
B(8, -3)
(i) The ratio in which AB is divided by the y-axis.
(ii) Find the coordinates of the point of intersection.
(I) :
By using section formula:
A(-4 , 6) = (x1, y1)
B(8, -3) = (x2, y2)
The equation of your axis is (0, y)
By substituting,
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(ii) :
By using section formula substitute m and n values:
Therefore,
(I) 1 : 2 the ratio in which AB is divided by the y-axis.
(ii) (0, 3) are the coordinates of the point of intersection.
Step-by-step explanation:
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