Answer to Question #228630 in Algebra for Vanessam

Question

Which one of the following conditions shall occur because the line of equation y=mx+n does not pass through the fourth quadrant of the Cartesian plane?

A.     m>0, n<0

B.     m>0, n=0

C.     m<0, n<0

m>0, n>0

Answer 1

The correct answer is: $m>0, n>0$

Explanation:

y-coordinate should not be negative when x is positive.

In first quadrant, x and y coordinates are both positive.

In second quadrant, x coordinate is negative and y coordinate is positive.

In third quadrant, both x and y coordinates are negative.

In fourth quadrant, x coordinate is positive and y coordinate is negative.