Question

How do you graph `2x+4y=8` by plotting points?

Answer 1

See a solution process below:

Explanation:

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

First Point: For `x = 0`

`(2 * 0) + 4y = 8`
`0 + 4y = 8`
`4y = 8`

`4y/color(red)(4) = 8/color(red)(4)`

`y = 2` or `(0, 2)`

Second Point: For `y = 0`

`2x + (4 * 0) = 8`
`2x + 0 = 8`
`2x = 8`

`(2x)/color(red)(2) = 8/color(red)(2)`

`x = 4` or `(4, 0)`

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

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