So with f(x), the equation is in slope-intercept form, which is y = mx+b, with m = slope and b = y-intercept. Looking at the equation, the slope is 5.
With g(x), you will have to use the slope formula (
) to find the slope. For this, I'll be using (1,3) and (2,5) to solve:
![\frac{5-3}{2-1}=\frac{2}{1} =2](https://tex.z-dn.net/?f=%20%5Cfrac%7B5-3%7D%7B2-1%7D%3D%5Cfrac%7B2%7D%7B1%7D%20%3D2%20)
The slope for g(x) is 2.
Now with h(x), you'll be doing the same thing as before. I'll be using points (1,14) and (7,16):
![\frac{16-14}{7-1}=\frac{2}{6}=\frac{1}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B16-14%7D%7B7-1%7D%3D%5Cfrac%7B2%7D%7B6%7D%3D%5Cfrac%7B1%7D%7B3%7D%20)
The slope for h(x) is 1/3.
In short, the function with the smallest slope is h(x), or the third option.