Question

How do you graph `x+y=1` by plotting points?

Answer 1

`"see explanation"`

Explanation:

`"we only require 2 points to draw a straight line"`

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

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

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

`x=0toy=0+y=1rArry=1larrcolor(red)"y-intercept"`

`y=0tox+0=1rArrx=1larrcolor(red)"x-intercept"`

`"plot the points "(0,1)" and "(1,0)`
`"and draw a straight line through them"`
graph{(y+x-1)((x+0)^2+(y-1)^2-0.05)((x-1)^2+(y-0)^2-0.05)=0 [-10, 10, -5, 5]}