Question

which function is the smallest slope A)f(x) B)g(x) C)h(x) D)the functions al leave the same slope

Answer 1

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 ($\frac{y_2-y_1}{x_2-x_1}$) to find the slope. For this, I'll be using (1,3) and (2,5) to solve:

$\frac{5-3}{2-1}=\frac{2}{1} =2$

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):

$\frac{16-14}{7-1}=\frac{2}{6}=\frac{1}{3}$

The slope for h(x) is 1/3.

In short, the function with the smallest slope is h(x), or the third option.