Answer:
Solutions are (0,2) and (-1,4).
Explanation:
There are two equations given for which graphing is to be done.
Equations are y = -2x+2------(1)
and y = -x²-3x+2---------(2)
Now we will solve the equations to get the values of x and y or the coordinates of intersection of these two graphs.
By substituting y from equation 2 into equation 1.
- x²-3x+2 = -2x+2
-x²-3x+2x = 0
-x²-x = 0
x²+x = 0
x(x+1)=0 ⇒ x = 0 and x = -1
Now we put these values of x in equation 2.
For x = 0 y = -2×0+2 = 2
For x = -1 y = 2+2 = 4
So they intersect each other at (0,2) and (-1,4).