The midpoint of the segment of the line y = 4x + 3 which lies between the x-ax 1 is and the y-ax 1 is

A.

(\(\frac{3}{2}\), \(\frac{3}{2}\))

B.

(\(\frac{2}{3}\), \(\frac{3}{2}\))

C.

(\(\frac{3}{8}\), \(\frac{3}{2}\))

D.

(-\(\frac{3}{8}\), \(\frac{3}{2}\))

Correct answer is D

y = 4x + 3

when x = 0, y = 3 \(\to\) (0, 3)

when y = 0, x = -\(\frac{3}{4}\) \(\to\) (\(\frac{3}{4}\), 0)

mid-point \(\frac{0 + (-{\frac{3}{4}})}{2}\), \(\frac{3 + 0}{4}\)

-\(\frac{3}{8}\), \(\frac{3}{2}\)