Mathematics, 04.11.2020 17:20, sullivanjakob

The diagram shows the points A (–3, 5) and B (5, –1). The mid-point of AB is M and the line PM is perpendicular to AB. The point P has coordinates (r, s). (i) Find the equation of the line PM in the form y=mx+c, where m and c are exact constants.

(ii) Hence find an expression for s in terms of r.

(iii) Given that the length of PM is 10 units, find the value of r and of s.

The diagram shows the points A (–3, 5) and B (5, –1). The mid-point of AB is M and the line PM is p

Answers: 2

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The diagram shows the points A (–3, 5) and B (5, –1). The mid-point of AB is M and the line PM is pe...