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

2 Answers
Aug 2, 2018

" "
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:

enter image source here

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

enter image source here

Hope it helps.

Aug 2, 2018

"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]}