Mathematics
M and N are two points on the x-axis and y-axis respectively. P(3, 2) divides the line segment MN in the ratio 2 : 3. Find :
(i) the coordinates of M and N.
(ii) slope of the line MN.
Straight Line Eq
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Answer
(i) Let the coordinates of M and N be (x, 0) and (0, y).
By section formula the coordinates of P are,
Given, P(3, 2). Comparing two values of P we get,
Hence, the coordinates of M and N are (5, 0) and (0, 5) respectively.
(ii) Slope of line MN can be given by
Putting value in above equation we get slope,
Hence, the slope of the line is -1.
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