ax +by + c = 0 subtract ax, c from both sides
by = -ax - c divide both sides by b
y = (-a/b) x - (c/b) or, in another form
y = -[a/b]x + (-[c/b] )
Note, the line has a negative slope.....so -[a/b] < 0 implies that a/b itself must be positive
Also, the y intercept, (-[c/b] ), is positive........thus, -[c/b] > 0 which implies that c/b < 0
So.....as guest has said, I and III are correct and (E) is the answer.....
OK Solveit..... put it into standard y = mx + b form
y = -a/b x - c/b From this you can see the slope (and by looking at the graph) is NEGATIVE so m = -a/b is negative which means a/b is POSITIVE so I is an answer
b is the y intercept of the line or -c/b from the graph we can see that -c/b is POSITIVE or > 0 so c/b must be NEGATIVE which means III is true also
So I would say answer 'E' if I did this all right!
ax +by + c = 0 subtract ax, c from both sides
by = -ax - c divide both sides by b
y = (-a/b) x - (c/b) or, in another form
y = -[a/b]x + (-[c/b] )
Note, the line has a negative slope.....so -[a/b] < 0 implies that a/b itself must be positive
Also, the y intercept, (-[c/b] ), is positive........thus, -[c/b] > 0 which implies that c/b < 0
So.....as guest has said, I and III are correct and (E) is the answer.....