Line and slope

[fleurdelisse]

In the rectangular coordinate, does line k interest quandrant II? (quandrant II being the quandrant where x<0 and y>0)
(1) slope of k is -1/6
(2) y-intercept of k is -6

OG answer A

But I don't understand why this is the case, you can draw any line with slope -1/6 all parallel to each other, interesting any of the quandrants, depending on the y interecept.

Anyone can help shed some light on this?? Thanks in advance.

[bluementor]

The question is asking specifically about quadrant 2. If a line has a negative slope, it MUST pass through quadrant 2, regardless of its y-intercept.

So as long as you know that the slope is negative, you know for sure it passes through quadrant 2. So statement 1 alone is sufficient.

If the slope is positive, then of course, it will depend on the y-intercept to determine which quadrants it will intersect.

-BM-

[austin]

Agree with BM...

statement 1 is sufficient..

statement 2: The line cuts at (0,-6)... It could pass through 2nd quad, but NEED NOT (it might pass through I and III and still make an intercept of -6 with y axis)...

A