Question

11. Find the equation of the straight line whose x and y-intercepts on the axes are given by
(i) 2 and 3 (ii) 3
1 - and 2
3 (iii) 5
2 and 4
3

Answer 1

In the attachments I have answered this problem.

Formula :

The equation of line in intercept form is

x/a + y/b = 1

See the attachments for detailed solution.

Answer 2

Solution :

****************************************

Equation of the line whose

x-intercept = a , y-intercept = b,

x/a + y/b = 1

*****************************************
i ) Given , a = 2 , b = 3

Required equation ,

x/2 + y/3 = 1

=> ( 3x + 2y )/6 = 1

=> 3x + 2y = 6

ii ) Given a = -1/3 and b = 2/3 ,

x/(-1/3) + y/(2/3) = 1

=> -3x + 3y/2 = 1

=> ( -6x + 3y ) /2 = 1

=> -6x + 3y = 2

iii ) Given a = 5/2 , b = 4/3

x/(5/2) + y/(4/3) = 1

=> 2x/5 + 3y/4 = 1

=> ( 8x + 15y )/20 = 1

=> 8x + 15y = 20

••••