Answer
$E = 7.5\times 10^{10}~N/m^2$
Work Step by Step
We can find a general equation for Young's modulus:
$stress = E \times strain$
$E = \frac{stress}{strain}$
Thus, Young's modulus is the slope of the stress versus strain graph:
$E = \frac{150\times 10^6~N/m^2}{0.002}$
$E = 7.5\times 10^{10}~N/m^2$
