Question

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

Answer 1

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.

Answer 2

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.