Given points (-3;-6), G(3; -2) and H(6; 1); determine:
(a) The equation of line FG

The equation of line FG is

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

In which m is the slope and b is the y-intercept.

F(-3;-6), G(3; -2)

When we have two points, the slope is given by the change in y divided by the change in x. So

Change in y : -2 - (-6) = -2 + 6 = 4

Change in x: 3 - (-3) = 3 + 3 = 6

Slope:

So

Finding b:

(3; -2) means that when . We use this to find b.

The equation of line FG is

b