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

idkstep-by-step explanation:...

Which graph models the equation 4x + 2y = 8? - id4281059617, nerdywolf2003

jamarcuswilliam2515

13.03.2022

Answer-

Option A models the equation correctly.

Solution-

The given equation is,

$\Rightarrow 4x + 2y = 8$

$\Rightarrow 2y = 8-4x$

$\Rightarrow y =\dfrac{8-4x}{2}$

$\Rightarrow y = 4-2x$

$\Rightarrow y = -2x+4$

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.

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