Question

The ratio of the x and y intercepts made by the graph of the linear equation

2x + 3y = 9 on the x-axis and y-axis respectively is

(a) 2 : 3
(b) 1 : 3
(c) 3 : 2
(d) 3 : 1​

Answer 1

Answer:

The ratio of the x and y intercepts made by the graph of the linear equation 2x + 3y = 9 on the x-axis and y-axis respectively

EVALUATION

Here the given equation is

2x + 3y = 9

Which can be rewritten as

\displaystyle \sf{ \implies \frac{2x}{9} + \frac{3y}{9} = 1 }⟹92x+93y=1

\displaystyle \sf{ \implies \frac{x}{4.5} + \frac{y}{3} = 1 }⟹4.5x+3y=1

x - intercept = 4.5

y - intercept = 3

Hence the required ratio

= 4.5 : 3

= 9 : 6

= 3 : 2

FINAL ANSWER

The required ratio = 3 : 2