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​

Answer 1

SOLUTION

TO DETERMINE

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

$\displaystyle \sf{ \implies \frac{2x}{9} + \frac{3y}{9} = 1 }$

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

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

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ Find the point where the graph of 0.25x + 0.05y =1.00 intersects the y-axis:

https://brainly.in/question/26332017

2. Find the equation of straight line passing through the point (-4,5) and making equal intercepts on the coordinate axis.

https://brainly.in/question/25257443

3. Find the slope of the line perpendicular to the line AB, if A is (3, 3) and B is (-1, 1)

https://brainly.in/question/27031626