A 25-ft ladder is leaning against a house, as shown in the picture. Find the slope of the ladder.
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Given:
Segment MN has endpoints at M(-6, -3) and N(9,7).
Point Q lies on MN such that MQ:QN = 3:2.
To find:
The coordinates of point Q.
Solution:
Section formula: If a point divides of line segment whose end points are and
in m:n, then the coordinates of that points are:
Segment MN has endpoints at M(-6, -3) and N(9,7) and Point Q lies on MN such that MQ:QN = 3:2. By using section formula, we get
Therefore, the coordinates of point Q are (3,3).