When the two equations are graphed on a coordinate plane, they intersect at two points.y=3x^2+4x+3y=−2x+3What are the points of intersection?Enter your answers in the boxes.(_,_) and (_,)
Accepted Solution
A:
Answer: (-2, 7) and (0, 3)Step-by-step explanation:A graph of the two equations clearly shows the points of intersection.The equations are conveniently graphed by a graphing calculator (as here) or by a spreadsheet program, on-line graphing tool, or graphing app.___Alternate solutionYou can set the two values of y equal to each other, then solve for x. 3x^2 +4x +3 = -2x +3 3x^2 +6x = 0 . . . . . subtract the right side expression 3(x)(x +2) = 0 . . . . . factor the equation x = 0, x = -2 . . . . . . solutions that make the factors zero y = -2{0, -2} +3 . . . . substitute the values of x into the expression for y y = {0, 4} +3 y = {3, 7} . . . . . . . . . the values of y corresponding to x = {0, -2}Then the points of intersection are (0, 3) and (-2, 7).