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

1 Answer
Nov 18, 2017

"see explanation"see explanation

Explanation:

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

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

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

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

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

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

"plot the points "(0,1)" and "(1,0)plot the points (0,1) and (1,0)
"and draw a straight line through them"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]}