Consider the function f (x) = mx + b, where m > 0.

If the value of b decreases, but the value of m remains the same, what will happen to the x-intercept?

A) The x-intercept decreases.

B) The x-intercept increases.

C) The x-intercept approaches zero.

D) The x-intercept remains the same

Answer: A) The x-intercept decreases.

Step-by-step explanation:

Hi, for the function f (x) = mx + b, if the value of b decreases, but the value of m remains the same, The x-intercept decreases.

For example

For b=2, m = 1 and x = 0 (since the y-value of a linear equation when it crosses the x-axis is 0)

f (x) = 0 (1) + 2 = 2 (x-intercept)

For b = 1 (b decrease), m = 1 and x = 0

F (x) = 0 (1) + 1 = 1 (x_intercept also decreases)

So, the correct option is A) The x-intercept decreases.

Feel free to ask for more if needed or if you did not understand something.