A line is plotted and the ratio of x:y is 2:3.How do you find the equation of the line?Thank you?

answers:
Como say: x/y = 2/3
3x = 2y
y = (2/3) x

electron1 say: Slope = y ÷ x = 1.5
y = 1.5 * x
OR
2 * y = 3 * x

TomV say: If the ratio x:y = 2:3, then the line must pass through the origin. Otherwise, at the y intercept of the line, (0, y), the ratio would be 0:y and at the x intercept, (x, 0), the ratio would be x:0. Since the ratio, 0/0, is indeterminate, the point (0, 0) is permitted.
Therefore:
x/y = 2/3
3x = 2y
The equation of the only line in which x:y is a constant value is a line that passes through the origin. In standard form, the only line in which x:y = 2:3, for all points on the line, is:
3x  2y = 0
Ans: 3x  2y = 0

ted s say: y / x = 3 / 2 =====> all lines are y = 1.5 x + C , for some C
