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Question: Which of the graphs represents the equation - 4x - 2y = 8?
(Draw graph by using x-intercept and y-intercept.)



A ) Graph 1
B ) Graph 2
C ) Graph 3
D ) Graph 4

Steps to derive

1 To graph the equation, we need to find the x-intercept and y-intercept.

2 To find the x-intercept, substitute y = 0 in the equation.

 [Substitute y = 0.]
3 - 4x - 2(0) = 8

 [Simplify.]
4 - 4x = 8

 [Divide each side by - 4.]
5 x = - 2

6 To find the y-intercept, substitute x = 0 in the equation.

 [Substitute x = 0.]
7 - 4(0) - 2y = 8

 [Simplify.]
8 - 2y = 8

 [Divide each side by - 2.]
9 y = - 4

10 Plot the points (- 2, 0), (0, - 4) and join them.

11 The graph obtained is as shown in Graph 3.

12 Graph 3 represents the equation - 4x - 2y = 8.



Hence the right answer is Option C

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