Question

y  =  -3x + 5
y  =  x2 + 2x + 9

Answer 1

what do you want with this? what are you asking?

Answer 2

y1 = -3x + 5
y2 = x^2 + 2x + 9.
Solving means finding the coordinates (x and y) of the 2 intersections A and B of the line y1 and the parabola y2.
To solve this system, make y1 = y2 and solve for x
x^2 + 2x + 9 = -3x + 5
x^2 + 5x + 4 = 0.
Since a - b + c = 0, one real root is (xA = -1) and the other is (xB = -c/a = -4) (TIP 2 in solving quadratic equations with shortcut).
To complete find all the coordinates of the 2 intercepts.
yA = -3(xA) + 5 = 3 + 5 = ...., and yB = -3(xB) + 5 = ....