How do you graph $2 x + y = 8$ $2x + y = 8$ ?

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Answer 1 · 2017-08-26T14:35:11

See a solution process below:

First, solve for two points which solve the equation and plot these points:

First Point:

For $x = 0$ $x = 0$

$(2 \cdot 0) + y = 8$ $(2 * 0) + y = 8$

$0 + y = 8$ $0 + y = 8$

$y = 8$ $y = 8$ or $(0, 8)$ $(0, 8)$

Second Point:

For $y = 0$ $y = 0$

$2 x + 0 = 8$ $2x + 0 = 8$

$2 x = 8$ $2x = 8$

$\frac{2 x}{2} = \frac{8}{2}$ $(2x)/color(red)(2) = 8/color(red)(2)$

$x = 4$ $x = 4$ or $(4, 0$ $(4, 0$

We can next graph the two points on the coordinate plane:

graph{(x^2+(y-8)^2-0.075)((x-4)^2+y^2-0.075)=0 [-20, 20, -10, 10]}

Now, we can draw a straight line through the two points to graph the line:

graph{(2x+y-8)(x^2+(y-8)^2-0.075)((x-4)^2+y^2-0.075)=0 [-20, 20, -10, 10]}

How do you graph 2x+y=82x + y = 8?