Question

Which of the following lines shows a proportional relationship between $y$ and $x$?

Answer 1

Detailed step-by-step solution:
If x and y are proportionally related to each other, then its equation would represent a straight line passing through the origin. And if the straight line does not pass through the origin, then it implies that x and y are not proportionally related to each other. Let’s look at which of the lines pass through the origin.
Line 1: It does not pass through the origin; hence, it does not show proportional relationship.
Line 2: It does not pass through the origin; hence, it does not show proportional relationship.
Line 3: It does not pass through the origin; hence, it does not show proportional relationship.
Line 4: It passes through the origin; hence, it shows proportional relationship.
Option D is correct.