Question

Graph the linear equation.find three points that solve the equation,then plot on the graph -3x++2y=11

Answer 1

`-3x+2y=11\qquad\text{add 3x to both sides}\\\\2y=3x+11\qquad\text{divide both sides by 2}\\\\y=(3)/(2)x+(11)/(2)\\\\for\ x=1\to y=(3)/(2)(1)+(11)/(2)=(3)/(2)+(11)/(2)=(14)/(2)=7\to(1,\ 7)\\\\for\ x=-3\to y=(3)/(2)(-3)+(11)/(2)=-(9)/(2)+(11)/(2)=(2)/(2)=1\to(-3,\ 1)\\\\for\ x=-5\to y=(3)/(2)(-5)+(11)/(2)=-(15)/(2)+(11)/(2)=-(4)/(2)=-2\to(-5,\ -2)`