Bunuel wrote:

Official Solution:

In the xy-plane, line \(m\) is a line that does not pass through the origin. Is the slope of line \(m\) is negative?

(1) The product of the x-intercept and the y-intercept of line \(m\) is positive. This means that either both \(x\) and y-intercepts are negative or both \(x\) and y-intercepts are positive. In either case the slope would be negative. Sufficient.

(2) Line \(m\) passes through the points \((a, \ b)\) and \((c, \ d)\), where \(\frac{(b - d)}{(a-c)} < 0\). This is basically the slope formula: rise over run and we are directly told that it's negative. Sufficient.

Answer: D

Hi

BunuelIn statement one what do you mean by the statement " In either case the slope would be negative." Can you please show which 2 cases.

Your help is much appreciated.

Thanks

_________________

Regards,

Adi