i solved like this-
line passes thru (-5,r). Eqn r= -5m + c. since slope is -ve, if c is +ve , x intercept = +ve. otherwise -ve.
statement 1. m=-5. r= 25 +c . c= r-25. c could be +ve or -ve depending on r.
statement 2. r> 0. c = r+5m. c could be +ve or -ve depending on value of m.
together- c= r-25; r>0. c could still be +ve or - ve . Hence x intercept could be +ve or -ve.
Hence ans = E
Is it ok?
line passes thru (-5,r). Eqn r= -5m + c. since slope is -ve, if c is +ve , x intercept = +ve. otherwise -ve.
statement 1. m=-5. r= 25 +c . c= r-25. c could be +ve or -ve depending on r.
statement 2. r> 0. c = r+5m. c could be +ve or -ve depending on value of m.
together- c= r-25; r>0. c could still be +ve or - ve . Hence x intercept could be +ve or -ve.
Hence ans = E
Is it ok?