Solve please?
1 Answer
Apr 17, 2018
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"#