Which graph represents the solution to the given system?
y = -4x +4
y = 1/2 x -2
To solve the system of equations, you can set the two equations equal to each other:
-4x + 4 = 1/2 x - 2
Multiply everything by 2 to get rid of the fraction:
-8x + 8 = x - 4
Add 8x to both sides:
8 = 9x - 4
Add 4 to both sides:
12 = 9x
Divide by 9:
x = 4/3
Now plug x back into one of the original equations to solve for y:
y = -4(4/3) + 4
y = -16/3 + 4
y = -16/3 + 12/3
y = -4/3
The solution to the system is x = 4/3, y = -4/3. This can be represented in a graph where the lines of the two equations intersect at the point (4/3, -4/3).