A line passes through the origin and the point \((1\frac{1}{4}, 2\frac{1}{2})\). Find the y-coordinate of the line when x = 4.

A.

2

B.

4

C.

6

D.

8

Correct answer is D

The gradient of the equation = \(\frac{y_{1} - y_{0}}{x_{1} - x_{0}} = \frac{\frac{5}{2} - 0}{\frac{5}{4} - 0}\)

= \(\frac{\frac{5}{2}}{\frac{5}{4}} = 2\)

The line passes through the origin, therefore the equation of the line is y = mx

\(y = 2x\)

When x = 4, y = 2 x 4 = 8.