Question

How do you graph `2x - 3y = 6` using intercepts?

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=0rArr0-3y=6rArry=-2larrcolor(red)"y-intercept"`

`y=0rArr2x-0=6rArrx=3larrcolor(red)"x-intercept"`

`"plot the points "(0,-2)" and "(3,0)`

`"and draw a straight line through them"`
graph{(y-2/3x+2)((x-0)^2+(y+2)^2-0.04)((x-3)^2+(y-0)^2-0.04)=0 [-10, 10, -5, 5]}