The question is : Line passing through (-4,3) and having intercepts in the ratio 5:3 is

Question

The given key is 3x + 5y=3

Answer 1

x-intercept = (5a,0)   y-intercept = (0,3a), for some nonzero number, a.

 

Slope of line = (3a-0)/(0-5a) = (3a)/(-5a) = -3/5

 

Equation of line:  y-3 = (-3/5)(x-(-4))

 

                         y-3 = (-3/5)x - (12/5)

 

                       5y-15 = -3x-12

 

                       3x+5y = 3