Question

How do you graph `y+2=-(x-4)`?

Answer 1

`"see explanation"`

Explanation:

`"we can begin by expressing the equation in "`
`color(blue)"slope-intercept form"`

`•color(white)(x)y=mx+b`

`rArry+2=-x+4larr" distributing bracket"`

`rArry=-x+2`

`"we can now find the intercepts, that is where the "`
`"line 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=0toy=0+2rArry=2larrcolor(red)" y-intercept"`

`y=0to0=-x+2rArrx=2larrcolor(red)" x-intercept"`

`"plot "(0,2)" and "(2,0)" and draw a straight line "`
`"through them"`
graph{-x+2 [-10, 10, -5, 5]}