Question

How do you graph `y+x=3`?

Answer 1

Refer Explanation.

Explanation:

`y+x=3`

`y=-x+3`

Comparing above equation with `y=mx+c` ,we get,

`m=-1` & `c=3`

Where, m=slope and c=y-intercept.

graph{3-x [-10, 10, -5, 5]}

We can also draw the graph by plotting random points satisfying equation of line.

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

`y=0rArr0+x=3rArrx=3larrcolor(red)"x-intercept"`

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

`"and 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]}