When a line intersects the negative x-axis then its x-intercept will be negative.sud21 wrote:Does line y=mx+b intersect with the negative axis-x?
1). m<0
2). b<0
X-intercept of y = mx + b is -(b/m).
Hence, we need to determine whether -(b/m) is negative or not.
It is obvious that whether -(b/m) is positive or not depends upon the signs of both b and m. Hence, none of the statements will be individually sufficient.
Both statements taken together, both b and m are negative. Hence, b/m > 0 --> -b/m < 0 --> x-intercept is negative --> The line intersects the negative x-axis --> Sufficient
The correct answer is C.
