Answer:
Option A is correct
The signs of the values of m and b are the same.
Step-by-step explanation:
x-intercept states that the graph crosses the x-axis.
Substitute y =0 and solve for x:
As per the statement:
Given the equation:
[tex]y=mx+b[/tex]
where, m is the slope and b is the y-intercept.
It is also given: A negative x-intercept
⇒negative x-intercept = (-x, 0)
substitute in [1] we have;
[tex]0 = -mx+b[/tex]
Add mx to both sides we have;
[tex]mx = b[/tex]
or
b = mx
Since, the sign of m and b are same.
Therefore, the following statements must be true in order for the line represented by the equation y = mx + b to have a negative x-intercept is, The signs of the values of m and b are the same.
