Answer:
(-1 3/5, 2 3/5)
Step-by-step explanation:
Red Line:
m = 3-(-1)/-2-2 = 4/-4 = -1
b = 1
equation: y = -x + 1
Blue Line:
m = 5-1/2-(-4) = 4/6 = 2/3
find 'b':
5 = 2(2/3) + b
15/3 = 4/3 + b
b = 11/3
equation: y = 2/3x + 11/3
Find Point of Intersection:
-x + 1 = 2/3x + 11/3
multiply each side by 3 to get:
-3x + 3 = 2x + 11
-5x = 8
x = -8/5
find 'y':
y = -(-8/5) + 1
y = 8/5 + 1 = 13/5
y = 2 3/5