We can't draw graphs on this forum. I will try to copy one. If it turns out well you can see which quadrant is empty.
http://www.math.com/school/subject2/lessons/S2U4L2DP.html
HELP I DONT GET THIS
10. A line with a negative slope and a negative y- intercept is graphed on a coordinate plane . Which quadrant will the line not pass through ? Justify your response .
4 answers
Thank you DrBob222!
Let's illustrate with an example that fits your description
y = -3x - 4
https://www.wolframalpha.com/input/?i=plot+y+%3D+-3x+-+4
Note that the graph could not possible pass through quad I
y = -3x - 4
https://www.wolframalpha.com/input/?i=plot+y+%3D+-3x+-+4
Note that the graph could not possible pass through quad I
Note that the graph I showed has a positive slope. It does have a negative y intercept but barely.