coordinate geometry – straight lines - The points A and B have coordinates (2, –3) and (8, 5) respectively, and AB is a chord of a circle with center C, as shown in the diagram. (a) Find the gradient of AB.

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

Step 1: Note down the given points (or Identify two points on the line.)

Step 2: Select one to be (x_1, y_1) and the other to be (x_2, y_2).

Step 3:Use the slope equation to calculate slope.

NOTE: Substitute given points in the formula.

FORMULA: \frac{y_2 - y_1}{x_2 - x_1}

EXAMPLE: Let's take the points (15, 8), (10, 7).

\frac{7 - 8}{15 - 10}