Point m divides ab so that am : mb =1: 2. if a has coordinates (-1,-3) and b has coordinates (8,9) the coordinates of m are

The coordinates of M are M(2, 1).

Step-by-step explanation:

Let the coordinates of M be M(x, y) that divides the line segment joining the points A(-1, -3) and B(8, 9) in the ratio of 1 : 2.

By section formula, we know that coordinates of a point (x, y) that divides the line segment joining the points (x₁, y₁) and (x₂, y₂) in the ratio of m₁ : m₂ are given by,

Now, (x₁, y₁) = (-1, -3); (x₂, y₂) = (8, 9); m₁ : m₂ = 1 : 2.

Now, we will substitute the values of (x₁, y₁), (x₂, y₂) and m₁ : m₂ in the above mentioned section formula.

The coordinates of M(x, y ) are given by,

So, the coordinates of M are M(2, 1).

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step-by-step explanation: