Question

Find the equation of the straight
line passing through the point
(3,-4) and making
X and Y - intercepts which are
in the ratio 2:3​

Answer 1

Answer:

X and Y intercepts ratio 2:3

let X interception 2a

Y interception 3a

required equation

X/2a+Y/3a=1

it passess through (3, -4)

substitute the values

3/2a-4/3a=1

3/2-4/3=a

a=9-8/6

a=1/6

substitute values

X/2/6+Y/3/6=1

6X/2+6Y/3=1

3X+2Y=1 is the required equation