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In the xy-plane, the line k passes through the origin and through the point (a, b), where ab does not equal 0. Is b positive?
(1) The slope of the line is negative.
(2) a < b.
The OA is C.
Can the question be done in the following way?
The equation of the line is y=mx+c.
We are told that it passes through the origin (0,0).
So, the equation of line becomes y=mx.
Find if x is positive.
statement 1: m is negative. x could be positive or negative. insufficient
statement 2: a<b that means x is less than y. insufficient
both :
y=mx
m is negative
so, y=-mx
statement 2 says x,y, so we can see that if x is +ve then y is negative and when x is negative then y is positive. if x has to be less than y, then it has to be positive.
Someone help, please? Thanks!
(1) The slope of the line is negative.
(2) a < b.
The OA is C.
Can the question be done in the following way?
The equation of the line is y=mx+c.
We are told that it passes through the origin (0,0).
So, the equation of line becomes y=mx.
Find if x is positive.
statement 1: m is negative. x could be positive or negative. insufficient
statement 2: a<b that means x is less than y. insufficient
both :
y=mx
m is negative
so, y=-mx
statement 2 says x,y, so we can see that if x is +ve then y is negative and when x is negative then y is positive. if x has to be less than y, then it has to be positive.
Someone help, please? Thanks!
