Answer:
To convert a quadratic from y = ax2 + bx + c form to vertex form, y = a(x - h)2+ k, you use the process of completing the square.
Step-by-step explanation:

y - y₁ = m(x - x₁)
y - 5 = ²/₃(x - 1)
y - 5 = ²/₃(x) - ²/₃(1)
y - 5 = ²/₃x - ²/₃
+ 5 + 5
y = ²/₃x + 4¹/₃
⁻²/₃x + y = ²/₃x - ²/₃x + 4¹/₃
⁻²/₃x + y = 4¹/₃
-3(⁻²/₃x + y) = -3(4¹/₃)
-3(⁻²/₃x) - 3(y) = -13
2x - 3y = -13
Answer: x= 7/2
y=5
Step-by-step explanation: