Question

How do you graph `2x + 3y =-6` by plotting points?

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 = o, 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)`

`"draw a straight line through them for graph"`
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]}