Question

In the given diagram, O is the origin and P is the midpoint of AB. The equation of OP is:

Options

• y = x

• 2y = x

• y = 2x

• y = – x

Answer 1

2y = x

Explanation:

From the diagram A = (4, 0) and B = (0, 2). 

Midpoint P = `((4 + 0)/2, (0 + 2)/2) = (2, 1)`. 

The line OP passes through O(0, 0) and P(2, 1). 

So, its slope = `1/2` and equation `y = 1/2 x`, which rearranges to 2y = x.