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Which graph models the equation 4x + 2y = 8?

Which graph models the equation 4x + 2y = 8?-example-1
Which graph models the equation 4x + 2y = 8?-example-1
Which graph models the equation 4x + 2y = 8?-example-2
Which graph models the equation 4x + 2y = 8?-example-3
Which graph models the equation 4x + 2y = 8?-example-4
User Knox
by
7.8k points

2 Answers

1 vote
the graph slanted from left to right.

4x + 2y = 8
-4x
2y=8-4x

divide the equation by 2 since you only need on y. -2x+8 =y

it's a negative x so the graph would be from upper left to lower right.

User Garvice
by
8.5k points
4 votes

Answer-

Option A models the equation correctly.

Solution-

The given equation is,


\Rightarrow 4x + 2y = 8


\Rightarrow 2y = 8-4x


\Rightarrow y =(8-4x)/(2)


\Rightarrow y = 4-2x


\Rightarrow y = -2x+4

Comparing it with the general slope-intercept form of straight line,


\Rightarrow y = mx+c

Here,

m = slope = -2

y-intercept = 4

As the slope is negative in this case, so option B and option D are incorrect.

Now, calculating the x intercept,


\Rightarrow y = 0


\Rightarrow -2x+4=0


\Rightarrow 2x=4


\Rightarrow x=2

So the x intercept is 2.

As in the option A, the y-intercept appears to 4 and x-intercept appears to be its half i.e 2. So option A is the correct graph.

Which graph models the equation 4x + 2y = 8?-example-1
User Shamim Ahmmed
by
7.7k points

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