Question

How do you graph `-3x+y=6`?

Answer 1

`"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=0rArr0+y=6rArry=6larrcolor(red)"y-intercept"`

`y=0rArr-3x+0=6rArrx=-2larrcolor(red)"x-intercept"`

`"Plot the points "(0,6)" and "(-2,0)`

`"and draw a straight line through them for graph"`
graph{(y-3x-6)((x-0)^2+(y-6)^2-0.04)((x+2)^2+(y-0)^2-0.04)=0 [-20, 20, -10, 10]}