coordinate geometry – straight lines - In ∆ABC, the coordinates of A and B are (–1, 4) and (11, 12) respectively and ∠ABC = 90°, as shown in the diagram above. (a) Find the gradient of AB.

Krishna (last edited 3 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.