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

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.

the answer is 8/21

hope this