Question

Solve please?

Answer 1

`y=3x+72`

Explanation:

`"express "x+3y=18" in "color(blue)"slope-intercept form"`

`•color(white)(x)y=mx+b`

`"where m is the slope and b the y-intercept"`

`rArry=-1/3x+6`

`rArrm_(AB)=-1/3" and "E=(0,6)`

`"AD is perpendicular to AB "larrcolor(blue)"vertex of rectangle"`

`rArrm_(AD)=-1/m=-1/(-1/3)=3`

`"we require the coordinates of A to obtain the equation"`

`"we are given "AE=EB`

`y=0rArr-1/3x+6=0rArrx=18rArrB=(18,0)`

`rArrvec(BE)=ule-ulb=((0),(6))-((18),(0))=((-18),(6))`

`rArrvec(EA)=ula-ule=((-18),(6))`

`rArrula=((-18),(6))+((0),(6))=((-18),(12))`

`rArrA=(-18,12)`

`rArry-12=3(x+18)`

`rArry-12=3x+54`

`rArry=3x+42larrcolor(red)"equation of line M"`