Question

How do you graph `x+y=3` by plotting points?

Answer 1

`" "`
Please read the explanation.

Explanation:

`" "`
Given:

`color(red)(x+y=3`

Rewrite this equation as `color(blue)(y = (-x+3))`

We can create a data table for this linear equation and graph:

Plot some of the points from the table on the graph:

Hope it helps.

Answer 2

`"see explanation"`

Explanation:

`"one way is to find the intercepts, that is where the graph"`
`"crosses the x and y axes"`

`• " let x = 0, in the equation for y-intercept"`

`• " let y = 0, in the equation for x-intercept"`

`x=0rArry=3larrcolor(red)"y-intercept"`

`y=0rArrx=3larrcolor(red)"x-intercept"`

`"Plot the points "(0,3)" and "(3,0)`

`"Draw a straight line through them for graph"`
graph{(y+x-3)((x-0)^2+(y-3)^2-0.04)((x-3)^2+(y-0)^2-0.04)=0 [-10, 10, -5, 5]}