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

User Wav
by
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1 Answer

7 votes

Answer:

The equation of line FG is
y = (2)/(3)x - 4

Explanation:

Equation of a line:

The equation of a line has the following format:


y = mx + b

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:
m = (4)/(6) = (2)/(3)

So


y = (2)/(3)x + b

Finding b:

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


y = (2)/(3)x + b


-2 = (2)/(3)(3) + b


2 + b = -2


b = -4

The equation of line FG is
y = (2)/(3)x - 4

User Matteo Boscolo
by
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