Question

geoff says that changing the value of m while leaving b unchanged in f(x)=mx+b has no impact on th intercepts of the graphs. Marcus disagrees with this statement. Who is correct? explain your reasoning.

Answer 1

Answer: Marcus is correct, changing the value of m and leaving b unchanged has impact in the x-intercept.

Explanation:

The linear equation is

f(x) = m*x + b

now, m is the slope and b is the y-intercept, so if we cahenge m, b remains unchanged, so the y-intercept does not change.

now, the x-intercept is when f(x) = 0 = m*x + b

so the x-intercept is = -b/m

We can see that the x-intercept depends inversilt with m, so chaging m will change the x-intercept.

Answer 2

I would agree with Marcus' stand that the statement is wrong. Changing the value of m while leaving b unchanged in f(x)=mx+b would surely have an impact on the intercepts specifically the x intercept. Changing the value m would correspond to a change to the x-intercept as well.