The line $y = 2 x + 3$ meets the curve $y = x ^ { 2 } + b x + c$ at exactly one point. The line $y = 4 x - 2$ also meets the curve $y = x ^ { 2 } + b x + c$ at exactly one point. What is the value of $b - c$ ? A - 9 B - 5.5 C - 1 D 5 E 6 F 14
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The line $y = 2 x + 3$ meets the curve $y = x ^ { 2 } + b x + c$ at exactly one point.
The line $y = 4 x - 2$ also meets the curve $y = x ^ { 2 } + b x + c$ at exactly one point.
What is the value of $b - c$ ?
A - 9
B - 5.5
C - 1
D 5
E 6
F 14