Data Sufficiency

In the xy-coordinate plane, line I1 and line I2 intersect at the point (-2,5). Is the product of their slopes negative ?

(1) The product of the x-intercepts of lines I1 and I2 is negative.

(2) The product of the y-intercepts of lines I1 and I2 is positive.

IMO C.

Please can you share the OA.

Thanks!!

FYI - I'm bad at these coordinate geo problems.

The way I'm reading it, we want to know if only 1 of the slopes are negative (thus the product will be negative). So the question is, are the lines going in the same direction or are they going in opposite directions?

Statement 1 - This tells us that 1 x intercept is negative and 1 x intercept is positive. If the lines intersect at (-2,5), and an x intercept is positive, I believe that means that 1 slope is negative.

since x intercept is when y = 0. If (-2,5) is a point on a line and x is positive when y = 0, that means y is decreasing as x is increasing or negative slope.

I think this is sufficient

Statement 2 - Tells us that both Y intercepts are positive or negative. However, a negative sloping line could have a positive Y intercept or it may not. If -2,5 is a point, then a slope of -1/2 would have a y intercept at 0,4. a slope of 1/2 would have a y intercept at 0,6. I believe we can construct the same with negative Y intercepts. Therefore, we don't know if only 1 slope is negative.

Insufficient.

IMO: A

IMO A is answer.

Can any one explain this by Graphical approach????

I think my original answer was wrong, because I ignored the potential for a line to have a slope of -5. If 1 line is -5 and the second line is -1/2, then you can have 2 negative slopes in addition to a negative x int and positive x int.

I'm switching to C - if both of them are crossing the Y axis at positive or negative, the only way they can have a negative x intercept and a positive x intercept is if they are sloping in opposite directions (I think).

IMO C

pls post OA