A is the point (2, 3), and B is the point (4, 9).

Question

Find the gradient of the line segment [AB]. (b) Find the equation of the line.

Answer 1

Note :

The gradient , m, of the line segment joining the two points is

.

The points are .

a).

Gradient of the line segment [ AB ] = .

Substitute the values of  in .

.

Gradient of the line segment [ AB ] is 3.

b).

Point - slope form of the line equation is  .

Substitute the values of and in .

.

The equation of the line is .