coordinate geometry – straight lines - The points A and B have coordinates (1, 2) and (5, 8) respectively. (a) Find the coordinates of the mid-point of AB.

Krishna (last edited 5 years ago) (Expert, Educator @Qalaxia)

Step 1: Note down the given points and assign these points with (x_1, y_1) \text{ and } (x_2, y_2).

Step 2:Substitute the values into the midpoint formula.

[FORMULA: The midpoint formula is

M = (\frac{x_1 + x_2}{2},\frac{ y_1 + y_2}{2})

where M is the midpoint of a line segment with endpoints at (x_1, y_1) \text{ and } (x_2, y_2).

Step 3: Simplify fraction.